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Finding the Third Proportional to 371,042 and 813,100

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Solution

The third proportional to 371,042 and 813,100 is: 1,781,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,042 : 813,100 = 813,100 : x
  2. Step 2: Convert to fraction form
    371,042/813,100 = 813,100/x
  3. Step 3: Cross multiply
    371,042x = 813,100 × 813,100
  4. Step 4: Simplify right side
    371,042x = 661,131,610,000
  5. Step 5: Solve for x
    x = 661,131,610,000/371,042
  6. Step 6: Final answer
    x = 1,781,824.19

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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.