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Finding the Third Proportional to 261,036 and 552,960

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Solution

The third proportional to 261,036 and 552,960 is: 1,171,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036 : 552,960 = 552,960 : x
  2. Step 2: Convert to fraction form
    261,036/552,960 = 552,960/x
  3. Step 3: Cross multiply
    261,036x = 552,960 × 552,960
  4. Step 4: Simplify right side
    261,036x = 305,764,761,600
  5. Step 5: Solve for x
    x = 305,764,761,600/261,036
  6. Step 6: Final answer
    x = 1,171,350.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.