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Finding the Third Proportional to 316,856 and 704,554

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Solution

The third proportional to 316,856 and 704,554 is: 1,566,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,856 : 704,554 = 704,554 : x
  2. Step 2: Convert to fraction form
    316,856/704,554 = 704,554/x
  3. Step 3: Cross multiply
    316,856x = 704,554 × 704,554
  4. Step 4: Simplify right side
    316,856x = 496,396,338,916
  5. Step 5: Solve for x
    x = 496,396,338,916/316,856
  6. Step 6: Final answer
    x = 1,566,630.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.