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Finding the Third Proportional to 209,304 and 429,624

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Solution

The third proportional to 209,304 and 429,624 is: 881,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,304 : 429,624 = 429,624 : x
  2. Step 2: Convert to fraction form
    209,304/429,624 = 429,624/x
  3. Step 3: Cross multiply
    209,304x = 429,624 × 429,624
  4. Step 4: Simplify right side
    209,304x = 184,576,781,376
  5. Step 5: Solve for x
    x = 184,576,781,376/209,304
  6. Step 6: Final answer
    x = 881,859.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.