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Finding the Third Proportional to 252,616 and 540,245

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Solution

The third proportional to 252,616 and 540,245 is: 1,155,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,616 : 540,245 = 540,245 : x
  2. Step 2: Convert to fraction form
    252,616/540,245 = 540,245/x
  3. Step 3: Cross multiply
    252,616x = 540,245 × 540,245
  4. Step 4: Simplify right side
    252,616x = 291,864,660,025
  5. Step 5: Solve for x
    x = 291,864,660,025/252,616
  6. Step 6: Final answer
    x = 1,155,368.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.