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Finding the Third Proportional to 535,440 and 861,048

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Solution

The third proportional to 535,440 and 861,048 is: 1,384,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,440 : 861,048 = 861,048 : x
  2. Step 2: Convert to fraction form
    535,440/861,048 = 861,048/x
  3. Step 3: Cross multiply
    535,440x = 861,048 × 861,048
  4. Step 4: Simplify right side
    535,440x = 741,403,658,304
  5. Step 5: Solve for x
    x = 741,403,658,304/535,440
  6. Step 6: Final answer
    x = 1,384,662.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.