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Finding the Third Proportional to 317,597 and 681,243

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Solution

The third proportional to 317,597 and 681,243 is: 1,461,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,597 : 681,243 = 681,243 : x
  2. Step 2: Convert to fraction form
    317,597/681,243 = 681,243/x
  3. Step 3: Cross multiply
    317,597x = 681,243 × 681,243
  4. Step 4: Simplify right side
    317,597x = 464,092,025,049
  5. Step 5: Solve for x
    x = 464,092,025,049/317,597
  6. Step 6: Final answer
    x = 1,461,260.73

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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.