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Finding the Third Proportional to 322,080 and 701,265

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Solution

The third proportional to 322,080 and 701,265 is: 1,526,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,080 : 701,265 = 701,265 : x
  2. Step 2: Convert to fraction form
    322,080/701,265 = 701,265/x
  3. Step 3: Cross multiply
    322,080x = 701,265 × 701,265
  4. Step 4: Simplify right side
    322,080x = 491,772,600,225
  5. Step 5: Solve for x
    x = 491,772,600,225/322,080
  6. Step 6: Final answer
    x = 1,526,864.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.