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Finding the Third Proportional to 373,866 and 564,228

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Solution

The third proportional to 373,866 and 564,228 is: 851,516.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,866 : 564,228 = 564,228 : x
  2. Step 2: Convert to fraction form
    373,866/564,228 = 564,228/x
  3. Step 3: Cross multiply
    373,866x = 564,228 × 564,228
  4. Step 4: Simplify right side
    373,866x = 318,353,235,984
  5. Step 5: Solve for x
    x = 318,353,235,984/373,866
  6. Step 6: Final answer
    x = 851,516.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.