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Finding the Third Proportional to 363,874 and 561,363

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Solution

The third proportional to 363,874 and 561,363 is: 866,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,874 : 561,363 = 561,363 : x
  2. Step 2: Convert to fraction form
    363,874/561,363 = 561,363/x
  3. Step 3: Cross multiply
    363,874x = 561,363 × 561,363
  4. Step 4: Simplify right side
    363,874x = 315,128,417,769
  5. Step 5: Solve for x
    x = 315,128,417,769/363,874
  6. Step 6: Final answer
    x = 866,037.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.