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Finding the Third Proportional to 599,248.48 and 1,287,434.97

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Solution

The third proportional to 599,248.48 and 1,287,434.97 is: 2,765,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,248.48 : 1,287,434.97 = 1,287,434.97 : x
  2. Step 2: Convert to fraction form
    599,248.48/1,287,434.97 = 1,287,434.97/x
  3. Step 3: Cross multiply
    599,248.48x = 1,287,434.97 × 1,287,434.97
  4. Step 4: Simplify right side
    599,248.48x = 1,657,488,798,760.31
  5. Step 5: Solve for x
    x = 1,657,488,798,760.31/599,248.48
  6. Step 6: Final answer
    x = 2,765,945.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.