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Finding the Third Proportional to 347,764 and 741,462

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Solution

The third proportional to 347,764 and 741,462 is: 1,580,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,764 : 741,462 = 741,462 : x
  2. Step 2: Convert to fraction form
    347,764/741,462 = 741,462/x
  3. Step 3: Cross multiply
    347,764x = 741,462 × 741,462
  4. Step 4: Simplify right side
    347,764x = 549,765,897,444
  5. Step 5: Solve for x
    x = 549,765,897,444/347,764
  6. Step 6: Final answer
    x = 1,580,859.14

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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.