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Finding the Third Proportional to 360,294.75 and 560,854.13

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Solution

The third proportional to 360,294.75 and 560,854.13 is: 873,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,294.75 : 560,854.13 = 560,854.13 : x
  2. Step 2: Convert to fraction form
    360,294.75/560,854.13 = 560,854.13/x
  3. Step 3: Cross multiply
    360,294.75x = 560,854.13 × 560,854.13
  4. Step 4: Simplify right side
    360,294.75x = 314,557,349,529.52
  5. Step 5: Solve for x
    x = 314,557,349,529.52/360,294.75
  6. Step 6: Final answer
    x = 873,055.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.