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Finding the Third Proportional to 520,513 and 709,110

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Solution

The third proportional to 520,513 and 709,110 is: 966,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,513 : 709,110 = 709,110 : x
  2. Step 2: Convert to fraction form
    520,513/709,110 = 709,110/x
  3. Step 3: Cross multiply
    520,513x = 709,110 × 709,110
  4. Step 4: Simplify right side
    520,513x = 502,836,992,100
  5. Step 5: Solve for x
    x = 502,836,992,100/520,513
  6. Step 6: Final answer
    x = 966,041.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.