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Finding the Third Proportional to 186,452 and 398,536

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Solution

The third proportional to 186,452 and 398,536 is: 851,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,452 : 398,536 = 398,536 : x
  2. Step 2: Convert to fraction form
    186,452/398,536 = 398,536/x
  3. Step 3: Cross multiply
    186,452x = 398,536 × 398,536
  4. Step 4: Simplify right side
    186,452x = 158,830,943,296
  5. Step 5: Solve for x
    x = 158,830,943,296/186,452
  6. Step 6: Final answer
    x = 851,859.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.