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Finding the Third Proportional to 614,820.38 and 859,755.38

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Solution

The third proportional to 614,820.38 and 859,755.38 is: 1,202,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,820.38 : 859,755.38 = 859,755.38 : x
  2. Step 2: Convert to fraction form
    614,820.38/859,755.38 = 859,755.38/x
  3. Step 3: Cross multiply
    614,820.38x = 859,755.38 × 859,755.38
  4. Step 4: Simplify right side
    614,820.38x = 739,179,304,841.39
  5. Step 5: Solve for x
    x = 739,179,304,841.39/614,820.38
  6. Step 6: Final answer
    x = 1,202,268.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.