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Finding the Third Proportional to 300,542,281.50 and 459,751,759.50

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Solution

The third proportional to 300,542,281.50 and 459,751,759.50 is: 703,300,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542,281.50 : 459,751,759.50 = 459,751,759.50 : x
  2. Step 2: Convert to fraction form
    300,542,281.50/459,751,759.50 = 459,751,759.50/x
  3. Step 3: Cross multiply
    300,542,281.50x = 459,751,759.50 × 459,751,759.50
  4. Step 4: Simplify right side
    300,542,281.50x = 211,371,680,363,345,856
  5. Step 5: Solve for x
    x = 211,371,680,363,345,856/300,542,281.50
  6. Step 6: Final answer
    x = 703,300,977.51

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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.