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Finding the Third Proportional to 298,590 and 452,624

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Solution

The third proportional to 298,590 and 452,624 is: 686,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,590 : 452,624 = 452,624 : x
  2. Step 2: Convert to fraction form
    298,590/452,624 = 452,624/x
  3. Step 3: Cross multiply
    298,590x = 452,624 × 452,624
  4. Step 4: Simplify right side
    298,590x = 204,868,485,376
  5. Step 5: Solve for x
    x = 204,868,485,376/298,590
  6. Step 6: Final answer
    x = 686,119.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.