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Finding the Third Proportional to 326,832 and 772,763

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Solution

The third proportional to 326,832 and 772,763 is: 1,827,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,832 : 772,763 = 772,763 : x
  2. Step 2: Convert to fraction form
    326,832/772,763 = 772,763/x
  3. Step 3: Cross multiply
    326,832x = 772,763 × 772,763
  4. Step 4: Simplify right side
    326,832x = 597,162,654,169
  5. Step 5: Solve for x
    x = 597,162,654,169/326,832
  6. Step 6: Final answer
    x = 1,827,124.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.