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Finding the Third Proportional to 393,934.50 and 590,901.50

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Solution

The third proportional to 393,934.50 and 590,901.50 is: 886,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,934.50 : 590,901.50 = 590,901.50 : x
  2. Step 2: Convert to fraction form
    393,934.50/590,901.50 = 590,901.50/x
  3. Step 3: Cross multiply
    393,934.50x = 590,901.50 × 590,901.50
  4. Step 4: Simplify right side
    393,934.50x = 349,164,582,702.25
  5. Step 5: Solve for x
    x = 349,164,582,702.25/393,934.50
  6. Step 6: Final answer
    x = 886,351.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.