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Finding the Third Proportional to 281,188 and 607,342

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Solution

The third proportional to 281,188 and 607,342 is: 1,311,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,188 : 607,342 = 607,342 : x
  2. Step 2: Convert to fraction form
    281,188/607,342 = 607,342/x
  3. Step 3: Cross multiply
    281,188x = 607,342 × 607,342
  4. Step 4: Simplify right side
    281,188x = 368,864,304,964
  5. Step 5: Solve for x
    x = 368,864,304,964/281,188
  6. Step 6: Final answer
    x = 1,311,806.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.