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Finding the Third Proportional to 326,830 and 772,758

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Solution

The third proportional to 326,830 and 772,758 is: 1,827,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,830 : 772,758 = 772,758 : x
  2. Step 2: Convert to fraction form
    326,830/772,758 = 772,758/x
  3. Step 3: Cross multiply
    326,830x = 772,758 × 772,758
  4. Step 4: Simplify right side
    326,830x = 597,154,926,564
  5. Step 5: Solve for x
    x = 597,154,926,564/326,830
  6. Step 6: Final answer
    x = 1,827,111.73

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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.