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Finding the Third Proportional to 308,499 and 676,086

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Solution

The third proportional to 308,499 and 676,086 is: 1,481,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,499 : 676,086 = 676,086 : x
  2. Step 2: Convert to fraction form
    308,499/676,086 = 676,086/x
  3. Step 3: Cross multiply
    308,499x = 676,086 × 676,086
  4. Step 4: Simplify right side
    308,499x = 457,092,279,396
  5. Step 5: Solve for x
    x = 457,092,279,396/308,499
  6. Step 6: Final answer
    x = 1,481,665.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.