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Finding the Third Proportional to 526,254.47 and 814,532.20

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Solution

The third proportional to 526,254.47 and 814,532.20 is: 1,260,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,254.47 : 814,532.20 = 814,532.20 : x
  2. Step 2: Convert to fraction form
    526,254.47/814,532.20 = 814,532.20/x
  3. Step 3: Cross multiply
    526,254.47x = 814,532.20 × 814,532.20
  4. Step 4: Simplify right side
    526,254.47x = 663,462,709,927.67
  5. Step 5: Solve for x
    x = 663,462,709,927.67/526,254.47
  6. Step 6: Final answer
    x = 1,260,726.04

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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.