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Finding the Third Proportional to 374,420 and 807,884

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Solution

The third proportional to 374,420 and 807,884 is: 1,743,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,420 : 807,884 = 807,884 : x
  2. Step 2: Convert to fraction form
    374,420/807,884 = 807,884/x
  3. Step 3: Cross multiply
    374,420x = 807,884 × 807,884
  4. Step 4: Simplify right side
    374,420x = 652,676,557,456
  5. Step 5: Solve for x
    x = 652,676,557,456/374,420
  6. Step 6: Final answer
    x = 1,743,166.92

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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.