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Finding the Third Proportional to 252,660 and 369,564.75

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Solution

The third proportional to 252,660 and 369,564.75 is: 540,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,660 : 369,564.75 = 369,564.75 : x
  2. Step 2: Convert to fraction form
    252,660/369,564.75 = 369,564.75/x
  3. Step 3: Cross multiply
    252,660x = 369,564.75 × 369,564.75
  4. Step 4: Simplify right side
    252,660x = 136,578,104,442.56
  5. Step 5: Solve for x
    x = 136,578,104,442.56/252,660
  6. Step 6: Final answer
    x = 540,560.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.