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Finding the Third Proportional to 326,226 and 661,674

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Solution

The third proportional to 326,226 and 661,674 is: 1,342,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,226 : 661,674 = 661,674 : x
  2. Step 2: Convert to fraction form
    326,226/661,674 = 661,674/x
  3. Step 3: Cross multiply
    326,226x = 661,674 × 661,674
  4. Step 4: Simplify right side
    326,226x = 437,812,482,276
  5. Step 5: Solve for x
    x = 437,812,482,276/326,226
  6. Step 6: Final answer
    x = 1,342,052.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.