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Finding the Third Proportional to 538,742 and 806,629

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Solution

The third proportional to 538,742 and 806,629 is: 1,207,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,742 : 806,629 = 806,629 : x
  2. Step 2: Convert to fraction form
    538,742/806,629 = 806,629/x
  3. Step 3: Cross multiply
    538,742x = 806,629 × 806,629
  4. Step 4: Simplify right side
    538,742x = 650,650,343,641
  5. Step 5: Solve for x
    x = 650,650,343,641/538,742
  6. Step 6: Final answer
    x = 1,207,721.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.