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Finding the Third Proportional to 459,760 and 717,588

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Solution

The third proportional to 459,760 and 717,588 is: 1,120,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,760 : 717,588 = 717,588 : x
  2. Step 2: Convert to fraction form
    459,760/717,588 = 717,588/x
  3. Step 3: Cross multiply
    459,760x = 717,588 × 717,588
  4. Step 4: Simplify right side
    459,760x = 514,932,537,744
  5. Step 5: Solve for x
    x = 514,932,537,744/459,760
  6. Step 6: Final answer
    x = 1,120,002.91

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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.