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Finding the Third Proportional to 374,410 and 807,868

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Solution

The third proportional to 374,410 and 807,868 is: 1,743,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,410 : 807,868 = 807,868 : x
  2. Step 2: Convert to fraction form
    374,410/807,868 = 807,868/x
  3. Step 3: Cross multiply
    374,410x = 807,868 × 807,868
  4. Step 4: Simplify right side
    374,410x = 652,650,705,424
  5. Step 5: Solve for x
    x = 652,650,705,424/374,410
  6. Step 6: Final answer
    x = 1,743,144.43

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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.