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Finding the Third Proportional to 316,737 and 672,336

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Solution

The third proportional to 316,737 and 672,336 is: 1,427,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,737 : 672,336 = 672,336 : x
  2. Step 2: Convert to fraction form
    316,737/672,336 = 672,336/x
  3. Step 3: Cross multiply
    316,737x = 672,336 × 672,336
  4. Step 4: Simplify right side
    316,737x = 452,035,696,896
  5. Step 5: Solve for x
    x = 452,035,696,896/316,737
  6. Step 6: Final answer
    x = 1,427,164.17

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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.