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Finding the Third Proportional to 300,542,261.63 and 459,751,730.63

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Solution

The third proportional to 300,542,261.63 and 459,751,730.63 is: 703,300,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542,261.63 : 459,751,730.63 = 459,751,730.63 : x
  2. Step 2: Convert to fraction form
    300,542,261.63/459,751,730.63 = 459,751,730.63/x
  3. Step 3: Cross multiply
    300,542,261.63x = 459,751,730.63 × 459,751,730.63
  4. Step 4: Simplify right side
    300,542,261.63x = 211,371,653,812,682,560
  5. Step 5: Solve for x
    x = 211,371,653,812,682,560/300,542,261.63
  6. Step 6: Final answer
    x = 703,300,935.68

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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.