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Finding the Third Proportional to 218,258 and 482,402

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Solution

The third proportional to 218,258 and 482,402 is: 1,066,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,258 : 482,402 = 482,402 : x
  2. Step 2: Convert to fraction form
    218,258/482,402 = 482,402/x
  3. Step 3: Cross multiply
    218,258x = 482,402 × 482,402
  4. Step 4: Simplify right side
    218,258x = 232,711,689,604
  5. Step 5: Solve for x
    x = 232,711,689,604/218,258
  6. Step 6: Final answer
    x = 1,066,222.95

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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.