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Finding the Third Proportional to 393,882.75 and 573,601.50

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Solution

The third proportional to 393,882.75 and 573,601.50 is: 835,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,882.75 : 573,601.50 = 573,601.50 : x
  2. Step 2: Convert to fraction form
    393,882.75/573,601.50 = 573,601.50/x
  3. Step 3: Cross multiply
    393,882.75x = 573,601.50 × 573,601.50
  4. Step 4: Simplify right side
    393,882.75x = 329,018,680,802.25
  5. Step 5: Solve for x
    x = 329,018,680,802.25/393,882.75
  6. Step 6: Final answer
    x = 835,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.