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Finding the Third Proportional to 340,850 and 741,554

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Solution

The third proportional to 340,850 and 741,554 is: 1,613,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,850 : 741,554 = 741,554 : x
  2. Step 2: Convert to fraction form
    340,850/741,554 = 741,554/x
  3. Step 3: Cross multiply
    340,850x = 741,554 × 741,554
  4. Step 4: Simplify right side
    340,850x = 549,902,334,916
  5. Step 5: Solve for x
    x = 549,902,334,916/340,850
  6. Step 6: Final answer
    x = 1,613,326.49

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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.