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Finding the Third Proportional to 385,776 and 563,592

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Solution

The third proportional to 385,776 and 563,592 is: 823,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,776 : 563,592 = 563,592 : x
  2. Step 2: Convert to fraction form
    385,776/563,592 = 563,592/x
  3. Step 3: Cross multiply
    385,776x = 563,592 × 563,592
  4. Step 4: Simplify right side
    385,776x = 317,635,942,464
  5. Step 5: Solve for x
    x = 317,635,942,464/385,776
  6. Step 6: Final answer
    x = 823,368.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.