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Finding the Third Proportional to 326,010 and 691,272

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Solution

The third proportional to 326,010 and 691,272 is: 1,465,773.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,010 : 691,272 = 691,272 : x
  2. Step 2: Convert to fraction form
    326,010/691,272 = 691,272/x
  3. Step 3: Cross multiply
    326,010x = 691,272 × 691,272
  4. Step 4: Simplify right side
    326,010x = 477,856,977,984
  5. Step 5: Solve for x
    x = 477,856,977,984/326,010
  6. Step 6: Final answer
    x = 1,465,773.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.