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Finding the Third Proportional to 316,008 and 676,302

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Solution

The third proportional to 316,008 and 676,302 is: 1,447,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,008 : 676,302 = 676,302 : x
  2. Step 2: Convert to fraction form
    316,008/676,302 = 676,302/x
  3. Step 3: Cross multiply
    316,008x = 676,302 × 676,302
  4. Step 4: Simplify right side
    316,008x = 457,384,395,204
  5. Step 5: Solve for x
    x = 457,384,395,204/316,008
  6. Step 6: Final answer
    x = 1,447,382.33

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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.