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Finding the Third Proportional to 392,918.34 and 600,652.97

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Solution

The third proportional to 392,918.34 and 600,652.97 is: 918,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,918.34 : 600,652.97 = 600,652.97 : x
  2. Step 2: Convert to fraction form
    392,918.34/600,652.97 = 600,652.97/x
  3. Step 3: Cross multiply
    392,918.34x = 600,652.97 × 600,652.97
  4. Step 4: Simplify right side
    392,918.34x = 360,783,988,868.19
  5. Step 5: Solve for x
    x = 360,783,988,868.19/392,918.34
  6. Step 6: Final answer
    x = 918,216.20

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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.