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Finding the Third Proportional to 539,458.88 and 805,494.38

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Solution

The third proportional to 539,458.88 and 805,494.38 is: 1,202,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,458.88 : 805,494.38 = 805,494.38 : x
  2. Step 2: Convert to fraction form
    539,458.88/805,494.38 = 805,494.38/x
  3. Step 3: Cross multiply
    539,458.88x = 805,494.38 × 805,494.38
  4. Step 4: Simplify right side
    539,458.88x = 648,821,188,156.64
  5. Step 5: Solve for x
    x = 648,821,188,156.64/539,458.88
  6. Step 6: Final answer
    x = 1,202,725.95

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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.