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Finding the Third Proportional to 342,704 and 740,896

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Solution

The third proportional to 342,704 and 740,896 is: 1,601,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,704 : 740,896 = 740,896 : x
  2. Step 2: Convert to fraction form
    342,704/740,896 = 740,896/x
  3. Step 3: Cross multiply
    342,704x = 740,896 × 740,896
  4. Step 4: Simplify right side
    342,704x = 548,926,882,816
  5. Step 5: Solve for x
    x = 548,926,882,816/342,704
  6. Step 6: Final answer
    x = 1,601,752.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.