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Finding the Third Proportional to 300,542,275.13 and 459,751,750.88

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Solution

The third proportional to 300,542,275.13 and 459,751,750.88 is: 703,300,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542,275.13 : 459,751,750.88 = 459,751,750.88 : x
  2. Step 2: Convert to fraction form
    300,542,275.13/459,751,750.88 = 459,751,750.88/x
  3. Step 3: Cross multiply
    300,542,275.13x = 459,751,750.88 × 459,751,750.88
  4. Step 4: Simplify right side
    300,542,275.13x = 211,371,672,432,628,064
  5. Step 5: Solve for x
    x = 211,371,672,432,628,064/300,542,275.13
  6. Step 6: Final answer
    x = 703,300,966.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.