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Finding the Third Proportional to 273,080 and 567,964

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Solution

The third proportional to 273,080 and 567,964 is: 1,181,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,080 : 567,964 = 567,964 : x
  2. Step 2: Convert to fraction form
    273,080/567,964 = 567,964/x
  3. Step 3: Cross multiply
    273,080x = 567,964 × 567,964
  4. Step 4: Simplify right side
    273,080x = 322,583,105,296
  5. Step 5: Solve for x
    x = 322,583,105,296/273,080
  6. Step 6: Final answer
    x = 1,181,276.93

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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.