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Finding the Third Proportional to 347,758 and 741,446

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Solution

The third proportional to 347,758 and 741,446 is: 1,580,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,758 : 741,446 = 741,446 : x
  2. Step 2: Convert to fraction form
    347,758/741,446 = 741,446/x
  3. Step 3: Cross multiply
    347,758x = 741,446 × 741,446
  4. Step 4: Simplify right side
    347,758x = 549,742,170,916
  5. Step 5: Solve for x
    x = 549,742,170,916/347,758
  6. Step 6: Final answer
    x = 1,580,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.