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Finding the Third Proportional to 362,713.31 and 853,156.13

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Solution

The third proportional to 362,713.31 and 853,156.13 is: 2,006,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.31 : 853,156.13 = 853,156.13 : x
  2. Step 2: Convert to fraction form
    362,713.31/853,156.13 = 853,156.13/x
  3. Step 3: Cross multiply
    362,713.31x = 853,156.13 × 853,156.13
  4. Step 4: Simplify right side
    362,713.31x = 727,875,373,625.02
  5. Step 5: Solve for x
    x = 727,875,373,625.02/362,713.31
  6. Step 6: Final answer
    x = 2,006,751.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.