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Finding the Third Proportional to 282,366 and 418,689

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Solution

The third proportional to 282,366 and 418,689 is: 620,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,366 : 418,689 = 418,689 : x
  2. Step 2: Convert to fraction form
    282,366/418,689 = 418,689/x
  3. Step 3: Cross multiply
    282,366x = 418,689 × 418,689
  4. Step 4: Simplify right side
    282,366x = 175,300,478,721
  5. Step 5: Solve for x
    x = 175,300,478,721/282,366
  6. Step 6: Final answer
    x = 620,827.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.