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Finding the Third Proportional to 539,759.32 and 1,154,252.53

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Solution

The third proportional to 539,759.32 and 1,154,252.53 is: 2,468,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,759.32 : 1,154,252.53 = 1,154,252.53 : x
  2. Step 2: Convert to fraction form
    539,759.32/1,154,252.53 = 1,154,252.53/x
  3. Step 3: Cross multiply
    539,759.32x = 1,154,252.53 × 1,154,252.53
  4. Step 4: Simplify right side
    539,759.32x = 1,332,298,905,897.03
  5. Step 5: Solve for x
    x = 1,332,298,905,897.03/539,759.32
  6. Step 6: Final answer
    x = 2,468,320.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.