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Finding the Third Proportional to 354,722 and 521,710

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Solution

The third proportional to 354,722 and 521,710 is: 767,308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,722 : 521,710 = 521,710 : x
  2. Step 2: Convert to fraction form
    354,722/521,710 = 521,710/x
  3. Step 3: Cross multiply
    354,722x = 521,710 × 521,710
  4. Step 4: Simplify right side
    354,722x = 272,181,324,100
  5. Step 5: Solve for x
    x = 272,181,324,100/354,722
  6. Step 6: Final answer
    x = 767,308.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.