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Finding the Third Proportional to 382,470.75 and 596,989.13

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Solution

The third proportional to 382,470.75 and 596,989.13 is: 931,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,470.75 : 596,989.13 = 596,989.13 : x
  2. Step 2: Convert to fraction form
    382,470.75/596,989.13 = 596,989.13/x
  3. Step 3: Cross multiply
    382,470.75x = 596,989.13 × 596,989.13
  4. Step 4: Simplify right side
    382,470.75x = 356,396,015,368.27
  5. Step 5: Solve for x
    x = 356,396,015,368.27/382,470.75
  6. Step 6: Final answer
    x = 931,825.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.