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Finding the Third Proportional to 313,684 and 672,904

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Solution

The third proportional to 313,684 and 672,904 is: 1,443,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684 : 672,904 = 672,904 : x
  2. Step 2: Convert to fraction form
    313,684/672,904 = 672,904/x
  3. Step 3: Cross multiply
    313,684x = 672,904 × 672,904
  4. Step 4: Simplify right side
    313,684x = 452,799,793,216
  5. Step 5: Solve for x
    x = 452,799,793,216/313,684
  6. Step 6: Final answer
    x = 1,443,490.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.