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Finding the Third Proportional to 538,710.75 and 803,394.50

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Solution

The third proportional to 538,710.75 and 803,394.50 is: 1,198,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,710.75 : 803,394.50 = 803,394.50 : x
  2. Step 2: Convert to fraction form
    538,710.75/803,394.50 = 803,394.50/x
  3. Step 3: Cross multiply
    538,710.75x = 803,394.50 × 803,394.50
  4. Step 4: Simplify right side
    538,710.75x = 645,442,722,630.25
  5. Step 5: Solve for x
    x = 645,442,722,630.25/538,710.75
  6. Step 6: Final answer
    x = 1,198,124.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.