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Finding the Third Proportional to 393,948 and 573,693.75

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Solution

The third proportional to 393,948 and 573,693.75 is: 835,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,948 : 573,693.75 = 573,693.75 : x
  2. Step 2: Convert to fraction form
    393,948/573,693.75 = 573,693.75/x
  3. Step 3: Cross multiply
    393,948x = 573,693.75 × 573,693.75
  4. Step 4: Simplify right side
    393,948x = 329,124,518,789.06
  5. Step 5: Solve for x
    x = 329,124,518,789.06/393,948
  6. Step 6: Final answer
    x = 835,451.68

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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.