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Finding the Third Proportional to 272,629 and 595,802

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Solution

The third proportional to 272,629 and 595,802 is: 1,302,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,629 : 595,802 = 595,802 : x
  2. Step 2: Convert to fraction form
    272,629/595,802 = 595,802/x
  3. Step 3: Cross multiply
    272,629x = 595,802 × 595,802
  4. Step 4: Simplify right side
    272,629x = 354,980,023,204
  5. Step 5: Solve for x
    x = 354,980,023,204/272,629
  6. Step 6: Final answer
    x = 1,302,062.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.