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Finding the Third Proportional to 316,498 and 682,933

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Solution

The third proportional to 316,498 and 682,933 is: 1,473,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,498 : 682,933 = 682,933 : x
  2. Step 2: Convert to fraction form
    316,498/682,933 = 682,933/x
  3. Step 3: Cross multiply
    316,498x = 682,933 × 682,933
  4. Step 4: Simplify right side
    316,498x = 466,397,482,489
  5. Step 5: Solve for x
    x = 466,397,482,489/316,498
  6. Step 6: Final answer
    x = 1,473,619.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.