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Finding the Third Proportional to 223,412 and 462,376

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Solution

The third proportional to 223,412 and 462,376 is: 956,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,412 : 462,376 = 462,376 : x
  2. Step 2: Convert to fraction form
    223,412/462,376 = 462,376/x
  3. Step 3: Cross multiply
    223,412x = 462,376 × 462,376
  4. Step 4: Simplify right side
    223,412x = 213,791,565,376
  5. Step 5: Solve for x
    x = 213,791,565,376/223,412
  6. Step 6: Final answer
    x = 956,938.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.