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Finding the Third Proportional to 347,586 and 761,607

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Solution

The third proportional to 347,586 and 761,607 is: 1,668,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,586 : 761,607 = 761,607 : x
  2. Step 2: Convert to fraction form
    347,586/761,607 = 761,607/x
  3. Step 3: Cross multiply
    347,586x = 761,607 × 761,607
  4. Step 4: Simplify right side
    347,586x = 580,045,222,449
  5. Step 5: Solve for x
    x = 580,045,222,449/347,586
  6. Step 6: Final answer
    x = 1,668,781.89

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Why These Related Problems?

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