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Finding the Third Proportional to 409,719 and 642,727

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Solution

The third proportional to 409,719 and 642,727 is: 1,008,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,719 : 642,727 = 642,727 : x
  2. Step 2: Convert to fraction form
    409,719/642,727 = 642,727/x
  3. Step 3: Cross multiply
    409,719x = 642,727 × 642,727
  4. Step 4: Simplify right side
    409,719x = 413,097,996,529
  5. Step 5: Solve for x
    x = 413,097,996,529/409,719
  6. Step 6: Final answer
    x = 1,008,247.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.