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Finding the Third Proportional to 308,500 and 641,624

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Solution

The third proportional to 308,500 and 641,624 is: 1,334,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,500 : 641,624 = 641,624 : x
  2. Step 2: Convert to fraction form
    308,500/641,624 = 641,624/x
  3. Step 3: Cross multiply
    308,500x = 641,624 × 641,624
  4. Step 4: Simplify right side
    308,500x = 411,681,357,376
  5. Step 5: Solve for x
    x = 411,681,357,376/308,500
  6. Step 6: Final answer
    x = 1,334,461.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.