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Finding the Third Proportional to 340,854 and 741,561

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Solution

The third proportional to 340,854 and 741,561 is: 1,613,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,854 : 741,561 = 741,561 : x
  2. Step 2: Convert to fraction form
    340,854/741,561 = 741,561/x
  3. Step 3: Cross multiply
    340,854x = 741,561 × 741,561
  4. Step 4: Simplify right side
    340,854x = 549,912,716,721
  5. Step 5: Solve for x
    x = 549,912,716,721/340,854
  6. Step 6: Final answer
    x = 1,613,338.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.