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Finding the Third Proportional to 282,596 and 617,680

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Solution

The third proportional to 282,596 and 617,680 is: 1,350,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,596 : 617,680 = 617,680 : x
  2. Step 2: Convert to fraction form
    282,596/617,680 = 617,680/x
  3. Step 3: Cross multiply
    282,596x = 617,680 × 617,680
  4. Step 4: Simplify right side
    282,596x = 381,528,582,400
  5. Step 5: Solve for x
    x = 381,528,582,400/282,596
  6. Step 6: Final answer
    x = 1,350,084.86

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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.