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Finding the Third Proportional to 322,096 and 472,048

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Solution

The third proportional to 322,096 and 472,048 is: 691,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,096 : 472,048 = 472,048 : x
  2. Step 2: Convert to fraction form
    322,096/472,048 = 472,048/x
  3. Step 3: Cross multiply
    322,096x = 472,048 × 472,048
  4. Step 4: Simplify right side
    322,096x = 222,829,314,304
  5. Step 5: Solve for x
    x = 222,829,314,304/322,096
  6. Step 6: Final answer
    x = 691,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.