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Finding the Third Proportional to 392,914.13 and 600,787.13

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Solution

The third proportional to 392,914.13 and 600,787.13 is: 918,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,914.13 : 600,787.13 = 600,787.13 : x
  2. Step 2: Convert to fraction form
    392,914.13/600,787.13 = 600,787.13/x
  3. Step 3: Cross multiply
    392,914.13x = 600,787.13 × 600,787.13
  4. Step 4: Simplify right side
    392,914.13x = 360,945,169,565.77
  5. Step 5: Solve for x
    x = 360,945,169,565.77/392,914.13
  6. Step 6: Final answer
    x = 918,636.28

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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.