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Finding the Third Proportional to 390,498 and 852,612

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Solution

The third proportional to 390,498 and 852,612 is: 1,861,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,498 : 852,612 = 852,612 : x
  2. Step 2: Convert to fraction form
    390,498/852,612 = 852,612/x
  3. Step 3: Cross multiply
    390,498x = 852,612 × 852,612
  4. Step 4: Simplify right side
    390,498x = 726,947,222,544
  5. Step 5: Solve for x
    x = 726,947,222,544/390,498
  6. Step 6: Final answer
    x = 1,861,590.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.