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Finding the Third Proportional to 361,044 and 561,302

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Solution

The third proportional to 361,044 and 561,302 is: 872,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,044 : 561,302 = 561,302 : x
  2. Step 2: Convert to fraction form
    361,044/561,302 = 561,302/x
  3. Step 3: Cross multiply
    361,044x = 561,302 × 561,302
  4. Step 4: Simplify right side
    361,044x = 315,059,935,204
  5. Step 5: Solve for x
    x = 315,059,935,204/361,044
  6. Step 6: Final answer
    x = 872,635.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.