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Finding the Third Proportional to 282,694 and 614,468

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Solution

The third proportional to 282,694 and 614,468 is: 1,335,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,694 : 614,468 = 614,468 : x
  2. Step 2: Convert to fraction form
    282,694/614,468 = 614,468/x
  3. Step 3: Cross multiply
    282,694x = 614,468 × 614,468
  4. Step 4: Simplify right side
    282,694x = 377,570,923,024
  5. Step 5: Solve for x
    x = 377,570,923,024/282,694
  6. Step 6: Final answer
    x = 1,335,617.04

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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.