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Finding the Third Proportional to 285,962 and 616,246

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Solution

The third proportional to 285,962 and 616,246 is: 1,328,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,962 : 616,246 = 616,246 : x
  2. Step 2: Convert to fraction form
    285,962/616,246 = 616,246/x
  3. Step 3: Cross multiply
    285,962x = 616,246 × 616,246
  4. Step 4: Simplify right side
    285,962x = 379,759,132,516
  5. Step 5: Solve for x
    x = 379,759,132,516/285,962
  6. Step 6: Final answer
    x = 1,328,005.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.