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Finding the Third Proportional to 283,678.31 and 614,635.88

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Solution

The third proportional to 283,678.31 and 614,635.88 is: 1,331,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,678.31 : 614,635.88 = 614,635.88 : x
  2. Step 2: Convert to fraction form
    283,678.31/614,635.88 = 614,635.88/x
  3. Step 3: Cross multiply
    283,678.31x = 614,635.88 × 614,635.88
  4. Step 4: Simplify right side
    283,678.31x = 377,777,258,837.02
  5. Step 5: Solve for x
    x = 377,777,258,837.02/283,678.31
  6. Step 6: Final answer
    x = 1,331,710.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.