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Finding the Third Proportional to 281,499 and 436,533

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Solution

The third proportional to 281,499 and 436,533 is: 676,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,499 : 436,533 = 436,533 : x
  2. Step 2: Convert to fraction form
    281,499/436,533 = 436,533/x
  3. Step 3: Cross multiply
    281,499x = 436,533 × 436,533
  4. Step 4: Simplify right side
    281,499x = 190,561,060,089
  5. Step 5: Solve for x
    x = 190,561,060,089/281,499
  6. Step 6: Final answer
    x = 676,951.11

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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.