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Finding the Third Proportional to 316,736 and 672,334

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Solution

The third proportional to 316,736 and 672,334 is: 1,427,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,736 : 672,334 = 672,334 : x
  2. Step 2: Convert to fraction form
    316,736/672,334 = 672,334/x
  3. Step 3: Cross multiply
    316,736x = 672,334 × 672,334
  4. Step 4: Simplify right side
    316,736x = 452,033,007,556
  5. Step 5: Solve for x
    x = 452,033,007,556/316,736
  6. Step 6: Final answer
    x = 1,427,160.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.