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Finding the Third Proportional to 218,690 and 478,228

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Solution

The third proportional to 218,690 and 478,228 is: 1,045,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,690 : 478,228 = 478,228 : x
  2. Step 2: Convert to fraction form
    218,690/478,228 = 478,228/x
  3. Step 3: Cross multiply
    218,690x = 478,228 × 478,228
  4. Step 4: Simplify right side
    218,690x = 228,702,019,984
  5. Step 5: Solve for x
    x = 228,702,019,984/218,690
  6. Step 6: Final answer
    x = 1,045,781.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.