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Finding the Third Proportional to 393,892.88 and 573,616.69

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Solution

The third proportional to 393,892.88 and 573,616.69 is: 835,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,892.88 : 573,616.69 = 573,616.69 : x
  2. Step 2: Convert to fraction form
    393,892.88/573,616.69 = 573,616.69/x
  3. Step 3: Cross multiply
    393,892.88x = 573,616.69 × 573,616.69
  4. Step 4: Simplify right side
    393,892.88x = 329,036,104,178.47
  5. Step 5: Solve for x
    x = 329,036,104,178.47/393,892.88
  6. Step 6: Final answer
    x = 835,344.14

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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.