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Finding the Third Proportional to 362,710.13 and 560,739.38

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Solution

The third proportional to 362,710.13 and 560,739.38 is: 866,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,710.13 : 560,739.38 = 560,739.38 : x
  2. Step 2: Convert to fraction form
    362,710.13/560,739.38 = 560,739.38/x
  3. Step 3: Cross multiply
    362,710.13x = 560,739.38 × 560,739.38
  4. Step 4: Simplify right side
    362,710.13x = 314,428,646,675.39
  5. Step 5: Solve for x
    x = 314,428,646,675.39/362,710.13
  6. Step 6: Final answer
    x = 866,886.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.