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Finding the Third Proportional to 467,122 and 722,464

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Solution

The third proportional to 467,122 and 722,464 is: 1,117,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,122 : 722,464 = 722,464 : x
  2. Step 2: Convert to fraction form
    467,122/722,464 = 722,464/x
  3. Step 3: Cross multiply
    467,122x = 722,464 × 722,464
  4. Step 4: Simplify right side
    467,122x = 521,954,231,296
  5. Step 5: Solve for x
    x = 521,954,231,296/467,122
  6. Step 6: Final answer
    x = 1,117,383.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.