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Finding the Third Proportional to 374,412 and 807,872

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Solution

The third proportional to 374,412 and 807,872 is: 1,743,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,412 : 807,872 = 807,872 : x
  2. Step 2: Convert to fraction form
    374,412/807,872 = 807,872/x
  3. Step 3: Cross multiply
    374,412x = 807,872 × 807,872
  4. Step 4: Simplify right side
    374,412x = 652,657,168,384
  5. Step 5: Solve for x
    x = 652,657,168,384/374,412
  6. Step 6: Final answer
    x = 1,743,152.38

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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.