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Finding the Third Proportional to 366,456.66 and 560,583.28

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Solution

The third proportional to 366,456.66 and 560,583.28 is: 857,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,456.66 : 560,583.28 = 560,583.28 : x
  2. Step 2: Convert to fraction form
    366,456.66/560,583.28 = 560,583.28/x
  3. Step 3: Cross multiply
    366,456.66x = 560,583.28 × 560,583.28
  4. Step 4: Simplify right side
    366,456.66x = 314,253,615,217.02
  5. Step 5: Solve for x
    x = 314,253,615,217.02/366,456.66
  6. Step 6: Final answer
    x = 857,546.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.