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Finding the Third Proportional to 281,118 and 614,663

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Solution

The third proportional to 281,118 and 614,663 is: 1,343,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,118 : 614,663 = 614,663 : x
  2. Step 2: Convert to fraction form
    281,118/614,663 = 614,663/x
  3. Step 3: Cross multiply
    281,118x = 614,663 × 614,663
  4. Step 4: Simplify right side
    281,118x = 377,810,603,569
  5. Step 5: Solve for x
    x = 377,810,603,569/281,118
  6. Step 6: Final answer
    x = 1,343,957.35

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Why These Related Problems?

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