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Finding the Third Proportional to 223,414 and 486,141

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Solution

The third proportional to 223,414 and 486,141 is: 1,057,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,414 : 486,141 = 486,141 : x
  2. Step 2: Convert to fraction form
    223,414/486,141 = 486,141/x
  3. Step 3: Cross multiply
    223,414x = 486,141 × 486,141
  4. Step 4: Simplify right side
    223,414x = 236,333,071,881
  5. Step 5: Solve for x
    x = 236,333,071,881/223,414
  6. Step 6: Final answer
    x = 1,057,825.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.