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Finding the Third Proportional to 218,301 and 482,484

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Solution

The third proportional to 218,301 and 482,484 is: 1,066,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,301 : 482,484 = 482,484 : x
  2. Step 2: Convert to fraction form
    218,301/482,484 = 482,484/x
  3. Step 3: Cross multiply
    218,301x = 482,484 × 482,484
  4. Step 4: Simplify right side
    218,301x = 232,790,810,256
  5. Step 5: Solve for x
    x = 232,790,810,256/218,301
  6. Step 6: Final answer
    x = 1,066,375.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.