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Finding the Third Proportional to 428,280 and 932,832

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Solution

The third proportional to 428,280 and 932,832 is: 2,031,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,280 : 932,832 = 932,832 : x
  2. Step 2: Convert to fraction form
    428,280/932,832 = 932,832/x
  3. Step 3: Cross multiply
    428,280x = 932,832 × 932,832
  4. Step 4: Simplify right side
    428,280x = 870,175,540,224
  5. Step 5: Solve for x
    x = 870,175,540,224/428,280
  6. Step 6: Final answer
    x = 2,031,791.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.