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Finding the Third Proportional to 428,710.73 and 932,155.36

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Solution

The third proportional to 428,710.73 and 932,155.36 is: 2,026,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,710.73 : 932,155.36 = 932,155.36 : x
  2. Step 2: Convert to fraction form
    428,710.73/932,155.36 = 932,155.36/x
  3. Step 3: Cross multiply
    428,710.73x = 932,155.36 × 932,155.36
  4. Step 4: Simplify right side
    428,710.73x = 868,913,608,549.66
  5. Step 5: Solve for x
    x = 868,913,608,549.66/428,710.73
  6. Step 6: Final answer
    x = 2,026,806.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.