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Finding the Third Proportional to 373,104 and 814,527

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Solution

The third proportional to 373,104 and 814,527 is: 1,778,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,104 : 814,527 = 814,527 : x
  2. Step 2: Convert to fraction form
    373,104/814,527 = 814,527/x
  3. Step 3: Cross multiply
    373,104x = 814,527 × 814,527
  4. Step 4: Simplify right side
    373,104x = 663,454,233,729
  5. Step 5: Solve for x
    x = 663,454,233,729/373,104
  6. Step 6: Final answer
    x = 1,778,201.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.