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Finding the Third Proportional to 268,776 and 565,134

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Solution

The third proportional to 268,776 and 565,134 is: 1,188,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,776 : 565,134 = 565,134 : x
  2. Step 2: Convert to fraction form
    268,776/565,134 = 565,134/x
  3. Step 3: Cross multiply
    268,776x = 565,134 × 565,134
  4. Step 4: Simplify right side
    268,776x = 319,376,437,956
  5. Step 5: Solve for x
    x = 319,376,437,956/268,776
  6. Step 6: Final answer
    x = 1,188,262.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.