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Finding the Third Proportional to 347,627 and 761,665

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Solution

The third proportional to 347,627 and 761,665 is: 1,668,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,627 : 761,665 = 761,665 : x
  2. Step 2: Convert to fraction form
    347,627/761,665 = 761,665/x
  3. Step 3: Cross multiply
    347,627x = 761,665 × 761,665
  4. Step 4: Simplify right side
    347,627x = 580,133,572,225
  5. Step 5: Solve for x
    x = 580,133,572,225/347,627
  6. Step 6: Final answer
    x = 1,668,839.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.