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Finding the Third Proportional to 340,852 and 741,559

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Solution

The third proportional to 340,852 and 741,559 is: 1,613,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,852 : 741,559 = 741,559 : x
  2. Step 2: Convert to fraction form
    340,852/741,559 = 741,559/x
  3. Step 3: Cross multiply
    340,852x = 741,559 × 741,559
  4. Step 4: Simplify right side
    340,852x = 549,909,750,481
  5. Step 5: Solve for x
    x = 549,909,750,481/340,852
  6. Step 6: Final answer
    x = 1,613,338.78

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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.