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Finding the Third Proportional to 547,043.63 and 736,441.88

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Solution

The third proportional to 547,043.63 and 736,441.88 is: 991,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,043.63 : 736,441.88 = 736,441.88 : x
  2. Step 2: Convert to fraction form
    547,043.63/736,441.88 = 736,441.88/x
  3. Step 3: Cross multiply
    547,043.63x = 736,441.88 × 736,441.88
  4. Step 4: Simplify right side
    547,043.63x = 542,346,635,253.52
  5. Step 5: Solve for x
    x = 542,346,635,253.52/547,043.63
  6. Step 6: Final answer
    x = 991,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.