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Finding the Third Proportional to 252,516 and 552,538

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Solution

The third proportional to 252,516 and 552,538 is: 1,209,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,516 : 552,538 = 552,538 : x
  2. Step 2: Convert to fraction form
    252,516/552,538 = 552,538/x
  3. Step 3: Cross multiply
    252,516x = 552,538 × 552,538
  4. Step 4: Simplify right side
    252,516x = 305,298,241,444
  5. Step 5: Solve for x
    x = 305,298,241,444/252,516
  6. Step 6: Final answer
    x = 1,209,025.33

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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.