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Finding the Third Proportional to 349,818 and 741,674

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Solution

The third proportional to 349,818 and 741,674 is: 1,572,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,818 : 741,674 = 741,674 : x
  2. Step 2: Convert to fraction form
    349,818/741,674 = 741,674/x
  3. Step 3: Cross multiply
    349,818x = 741,674 × 741,674
  4. Step 4: Simplify right side
    349,818x = 550,080,322,276
  5. Step 5: Solve for x
    x = 550,080,322,276/349,818
  6. Step 6: Final answer
    x = 1,572,475.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.