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Finding the Third Proportional to 374,660.75 and 820,624

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Solution

The third proportional to 374,660.75 and 820,624 is: 1,797,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,660.75 : 820,624 = 820,624 : x
  2. Step 2: Convert to fraction form
    374,660.75/820,624 = 820,624/x
  3. Step 3: Cross multiply
    374,660.75x = 820,624 × 820,624
  4. Step 4: Simplify right side
    374,660.75x = 673,423,749,376
  5. Step 5: Solve for x
    x = 673,423,749,376/374,660.75
  6. Step 6: Final answer
    x = 1,797,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.