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Finding the Third Proportional to 342,364 and 675,494

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Solution

The third proportional to 342,364 and 675,494 is: 1,332,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,364 : 675,494 = 675,494 : x
  2. Step 2: Convert to fraction form
    342,364/675,494 = 675,494/x
  3. Step 3: Cross multiply
    342,364x = 675,494 × 675,494
  4. Step 4: Simplify right side
    342,364x = 456,292,144,036
  5. Step 5: Solve for x
    x = 456,292,144,036/342,364
  6. Step 6: Final answer
    x = 1,332,769.05

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.