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Finding the Third Proportional to 361,039.50 and 572,177.25

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Solution

The third proportional to 361,039.50 and 572,177.25 is: 906,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,039.50 : 572,177.25 = 572,177.25 : x
  2. Step 2: Convert to fraction form
    361,039.50/572,177.25 = 572,177.25/x
  3. Step 3: Cross multiply
    361,039.50x = 572,177.25 × 572,177.25
  4. Step 4: Simplify right side
    361,039.50x = 327,386,805,417.56
  5. Step 5: Solve for x
    x = 327,386,805,417.56/361,039.50
  6. Step 6: Final answer
    x = 906,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.