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Finding the Third Proportional to 322,748 and 682,434

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Solution

The third proportional to 322,748 and 682,434 is: 1,442,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,748 : 682,434 = 682,434 : x
  2. Step 2: Convert to fraction form
    322,748/682,434 = 682,434/x
  3. Step 3: Cross multiply
    322,748x = 682,434 × 682,434
  4. Step 4: Simplify right side
    322,748x = 465,716,164,356
  5. Step 5: Solve for x
    x = 465,716,164,356/322,748
  6. Step 6: Final answer
    x = 1,442,971.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.