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Finding the Third Proportional to 373,669 and 817,474

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Solution

The third proportional to 373,669 and 817,474 is: 1,788,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,669 : 817,474 = 817,474 : x
  2. Step 2: Convert to fraction form
    373,669/817,474 = 817,474/x
  3. Step 3: Cross multiply
    373,669x = 817,474 × 817,474
  4. Step 4: Simplify right side
    373,669x = 668,263,740,676
  5. Step 5: Solve for x
    x = 668,263,740,676/373,669
  6. Step 6: Final answer
    x = 1,788,384.21

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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.