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Finding the Third Proportional to 737,642.25 and 1,113,240.38

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Solution

The third proportional to 737,642.25 and 1,113,240.38 is: 1,680,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,642.25 : 1,113,240.38 = 1,113,240.38 : x
  2. Step 2: Convert to fraction form
    737,642.25/1,113,240.38 = 1,113,240.38/x
  3. Step 3: Cross multiply
    737,642.25x = 1,113,240.38 × 1,113,240.38
  4. Step 4: Simplify right side
    737,642.25x = 1,239,304,132,530.14
  5. Step 5: Solve for x
    x = 1,239,304,132,530.14/737,642.25
  6. Step 6: Final answer
    x = 1,680,088.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.