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Finding the Third Proportional to 459,762 and 717,591

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Solution

The third proportional to 459,762 and 717,591 is: 1,120,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,762 : 717,591 = 717,591 : x
  2. Step 2: Convert to fraction form
    459,762/717,591 = 717,591/x
  3. Step 3: Cross multiply
    459,762x = 717,591 × 717,591
  4. Step 4: Simplify right side
    459,762x = 514,936,843,281
  5. Step 5: Solve for x
    x = 514,936,843,281/459,762
  6. Step 6: Final answer
    x = 1,120,007.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.