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Finding the Third Proportional to 526,262 and 814,545

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Solution

The third proportional to 526,262 and 814,545 is: 1,260,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,262 : 814,545 = 814,545 : x
  2. Step 2: Convert to fraction form
    526,262/814,545 = 814,545/x
  3. Step 3: Cross multiply
    526,262x = 814,545 × 814,545
  4. Step 4: Simplify right side
    526,262x = 663,483,557,025
  5. Step 5: Solve for x
    x = 663,483,557,025/526,262
  6. Step 6: Final answer
    x = 1,260,747.61

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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.