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Finding the Third Proportional to 374,418 and 807,880

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Solution

The third proportional to 374,418 and 807,880 is: 1,743,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,418 : 807,880 = 807,880 : x
  2. Step 2: Convert to fraction form
    374,418/807,880 = 807,880/x
  3. Step 3: Cross multiply
    374,418x = 807,880 × 807,880
  4. Step 4: Simplify right side
    374,418x = 652,670,094,400
  5. Step 5: Solve for x
    x = 652,670,094,400/374,418
  6. Step 6: Final answer
    x = 1,743,158.97

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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.