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Finding the Third Proportional to 326,844 and 772,785

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Solution

The third proportional to 326,844 and 772,785 is: 1,827,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,844 : 772,785 = 772,785 : x
  2. Step 2: Convert to fraction form
    326,844/772,785 = 772,785/x
  3. Step 3: Cross multiply
    326,844x = 772,785 × 772,785
  4. Step 4: Simplify right side
    326,844x = 597,196,656,225
  5. Step 5: Solve for x
    x = 597,196,656,225/326,844
  6. Step 6: Final answer
    x = 1,827,161.14

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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.