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Finding the Third Proportional to 361,932 and 563,581

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Solution

The third proportional to 361,932 and 563,581 is: 877,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,932 : 563,581 = 563,581 : x
  2. Step 2: Convert to fraction form
    361,932/563,581 = 563,581/x
  3. Step 3: Cross multiply
    361,932x = 563,581 × 563,581
  4. Step 4: Simplify right side
    361,932x = 317,623,543,561
  5. Step 5: Solve for x
    x = 317,623,543,561/361,932
  6. Step 6: Final answer
    x = 877,577.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.