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Finding the Third Proportional to 392,827.50 and 600,651

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Solution

The third proportional to 392,827.50 and 600,651 is: 918,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,827.50 : 600,651 = 600,651 : x
  2. Step 2: Convert to fraction form
    392,827.50/600,651 = 600,651/x
  3. Step 3: Cross multiply
    392,827.50x = 600,651 × 600,651
  4. Step 4: Simplify right side
    392,827.50x = 360,781,623,801
  5. Step 5: Solve for x
    x = 360,781,623,801/392,827.50
  6. Step 6: Final answer
    x = 918,422.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.