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Finding the Third Proportional to 393,460.88 and 814,905

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Solution

The third proportional to 393,460.88 and 814,905 is: 1,687,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,460.88 : 814,905 = 814,905 : x
  2. Step 2: Convert to fraction form
    393,460.88/814,905 = 814,905/x
  3. Step 3: Cross multiply
    393,460.88x = 814,905 × 814,905
  4. Step 4: Simplify right side
    393,460.88x = 664,070,159,025
  5. Step 5: Solve for x
    x = 664,070,159,025/393,460.88
  6. Step 6: Final answer
    x = 1,687,766.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.