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Finding the Third Proportional to 282,630 and 614,344

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Solution

The third proportional to 282,630 and 614,344 is: 1,335,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630 : 614,344 = 614,344 : x
  2. Step 2: Convert to fraction form
    282,630/614,344 = 614,344/x
  3. Step 3: Cross multiply
    282,630x = 614,344 × 614,344
  4. Step 4: Simplify right side
    282,630x = 377,418,550,336
  5. Step 5: Solve for x
    x = 377,418,550,336/282,630
  6. Step 6: Final answer
    x = 1,335,380.36

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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.