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Finding the Third Proportional to 393,940 and 573,681

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Solution

The third proportional to 393,940 and 573,681 is: 835,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,940 : 573,681 = 573,681 : x
  2. Step 2: Convert to fraction form
    393,940/573,681 = 573,681/x
  3. Step 3: Cross multiply
    393,940x = 573,681 × 573,681
  4. Step 4: Simplify right side
    393,940x = 329,109,889,761
  5. Step 5: Solve for x
    x = 329,109,889,761/393,940
  6. Step 6: Final answer
    x = 835,431.51

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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.