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Finding the Third Proportional to 285,800 and 620,792

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Solution

The third proportional to 285,800 and 620,792 is: 1,348,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,800 : 620,792 = 620,792 : x
  2. Step 2: Convert to fraction form
    285,800/620,792 = 620,792/x
  3. Step 3: Cross multiply
    285,800x = 620,792 × 620,792
  4. Step 4: Simplify right side
    285,800x = 385,382,707,264
  5. Step 5: Solve for x
    x = 385,382,707,264/285,800
  6. Step 6: Final answer
    x = 1,348,434.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.