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Finding the Third Proportional to 273,534 and 568,812

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Solution

The third proportional to 273,534 and 568,812 is: 1,182,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,534 : 568,812 = 568,812 : x
  2. Step 2: Convert to fraction form
    273,534/568,812 = 568,812/x
  3. Step 3: Cross multiply
    273,534x = 568,812 × 568,812
  4. Step 4: Simplify right side
    273,534x = 323,547,091,344
  5. Step 5: Solve for x
    x = 323,547,091,344/273,534
  6. Step 6: Final answer
    x = 1,182,840.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.