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Finding the Third Proportional to 282,594 and 617,676

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Solution

The third proportional to 282,594 and 617,676 is: 1,350,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,594 : 617,676 = 617,676 : x
  2. Step 2: Convert to fraction form
    282,594/617,676 = 617,676/x
  3. Step 3: Cross multiply
    282,594x = 617,676 × 617,676
  4. Step 4: Simplify right side
    282,594x = 381,523,640,976
  5. Step 5: Solve for x
    x = 381,523,640,976/282,594
  6. Step 6: Final answer
    x = 1,350,076.93

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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.