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Finding the Third Proportional to 262,167.68 and 574,356.66

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Solution

The third proportional to 262,167.68 and 574,356.66 is: 1,258,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,167.68 : 574,356.66 = 574,356.66 : x
  2. Step 2: Convert to fraction form
    262,167.68/574,356.66 = 574,356.66/x
  3. Step 3: Cross multiply
    262,167.68x = 574,356.66 × 574,356.66
  4. Step 4: Simplify right side
    262,167.68x = 329,885,568,578.68
  5. Step 5: Solve for x
    x = 329,885,568,578.68/262,167.68
  6. Step 6: Final answer
    x = 1,258,299.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.