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Finding the Third Proportional to 354,776 and 564,791

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Solution

The third proportional to 354,776 and 564,791 is: 899,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,776 : 564,791 = 564,791 : x
  2. Step 2: Convert to fraction form
    354,776/564,791 = 564,791/x
  3. Step 3: Cross multiply
    354,776x = 564,791 × 564,791
  4. Step 4: Simplify right side
    354,776x = 318,988,873,681
  5. Step 5: Solve for x
    x = 318,988,873,681/354,776
  6. Step 6: Final answer
    x = 899,127.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.