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Finding the Third Proportional to 400,928 and 932,304

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Solution

The third proportional to 400,928 and 932,304 is: 2,167,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,928 : 932,304 = 932,304 : x
  2. Step 2: Convert to fraction form
    400,928/932,304 = 932,304/x
  3. Step 3: Cross multiply
    400,928x = 932,304 × 932,304
  4. Step 4: Simplify right side
    400,928x = 869,190,748,416
  5. Step 5: Solve for x
    x = 869,190,748,416/400,928
  6. Step 6: Final answer
    x = 2,167,947.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.