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Finding the Third Proportional to 282,966 and 424,449

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Solution

The third proportional to 282,966 and 424,449 is: 636,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,966 : 424,449 = 424,449 : x
  2. Step 2: Convert to fraction form
    282,966/424,449 = 424,449/x
  3. Step 3: Cross multiply
    282,966x = 424,449 × 424,449
  4. Step 4: Simplify right side
    282,966x = 180,156,953,601
  5. Step 5: Solve for x
    x = 180,156,953,601/282,966
  6. Step 6: Final answer
    x = 636,673.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.