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Finding the Third Proportional to 526,046.25 and 1,150,527

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Solution

The third proportional to 526,046.25 and 1,150,527 is: 2,516,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,046.25 : 1,150,527 = 1,150,527 : x
  2. Step 2: Convert to fraction form
    526,046.25/1,150,527 = 1,150,527/x
  3. Step 3: Cross multiply
    526,046.25x = 1,150,527 × 1,150,527
  4. Step 4: Simplify right side
    526,046.25x = 1,323,712,377,729
  5. Step 5: Solve for x
    x = 1,323,712,377,729/526,046.25
  6. Step 6: Final answer
    x = 2,516,342.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.