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Finding the Third Proportional to 282,252 and 608,820

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Solution

The third proportional to 282,252 and 608,820 is: 1,313,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252 : 608,820 = 608,820 : x
  2. Step 2: Convert to fraction form
    282,252/608,820 = 608,820/x
  3. Step 3: Cross multiply
    282,252x = 608,820 × 608,820
  4. Step 4: Simplify right side
    282,252x = 370,661,792,400
  5. Step 5: Solve for x
    x = 370,661,792,400/282,252
  6. Step 6: Final answer
    x = 1,313,229.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.