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Finding the Third Proportional to 282,882 and 616,260

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Solution

The third proportional to 282,882 and 616,260 is: 1,342,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,882 : 616,260 = 616,260 : x
  2. Step 2: Convert to fraction form
    282,882/616,260 = 616,260/x
  3. Step 3: Cross multiply
    282,882x = 616,260 × 616,260
  4. Step 4: Simplify right side
    282,882x = 379,776,387,600
  5. Step 5: Solve for x
    x = 379,776,387,600/282,882
  6. Step 6: Final answer
    x = 1,342,525.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.