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Finding the Third Proportional to 526,309.88 and 814,615.31

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Solution

The third proportional to 526,309.88 and 814,615.31 is: 1,260,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,309.88 : 814,615.31 = 814,615.31 : x
  2. Step 2: Convert to fraction form
    526,309.88/814,615.31 = 814,615.31/x
  3. Step 3: Cross multiply
    526,309.88x = 814,615.31 × 814,615.31
  4. Step 4: Simplify right side
    526,309.88x = 663,598,107,359.47
  5. Step 5: Solve for x
    x = 663,598,107,359.47/526,309.88
  6. Step 6: Final answer
    x = 1,260,850.57

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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.