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Finding the Third Proportional to 317,600 and 697,414

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Solution

The third proportional to 317,600 and 697,414 is: 1,531,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,600 : 697,414 = 697,414 : x
  2. Step 2: Convert to fraction form
    317,600/697,414 = 697,414/x
  3. Step 3: Cross multiply
    317,600x = 697,414 × 697,414
  4. Step 4: Simplify right side
    317,600x = 486,386,287,396
  5. Step 5: Solve for x
    x = 486,386,287,396/317,600
  6. Step 6: Final answer
    x = 1,531,442.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.