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Finding the Third Proportional to 252,756 and 552,989

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Solution

The third proportional to 252,756 and 552,989 is: 1,209,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,756 : 552,989 = 552,989 : x
  2. Step 2: Convert to fraction form
    252,756/552,989 = 552,989/x
  3. Step 3: Cross multiply
    252,756x = 552,989 × 552,989
  4. Step 4: Simplify right side
    252,756x = 305,796,834,121
  5. Step 5: Solve for x
    x = 305,796,834,121/252,756
  6. Step 6: Final answer
    x = 1,209,849.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.