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Finding the Third Proportional to 487,351.13 and 731,026.69

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Solution

The third proportional to 487,351.13 and 731,026.69 is: 1,096,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,351.13 : 731,026.69 = 731,026.69 : x
  2. Step 2: Convert to fraction form
    487,351.13/731,026.69 = 731,026.69/x
  3. Step 3: Cross multiply
    487,351.13x = 731,026.69 × 731,026.69
  4. Step 4: Simplify right side
    487,351.13x = 534,400,017,837.22
  5. Step 5: Solve for x
    x = 534,400,017,837.22/487,351.13
  6. Step 6: Final answer
    x = 1,096,540.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.