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Finding the Third Proportional to 252,509 and 552,525

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Solution

The third proportional to 252,509 and 552,525 is: 1,209,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,509 : 552,525 = 552,525 : x
  2. Step 2: Convert to fraction form
    252,509/552,525 = 552,525/x
  3. Step 3: Cross multiply
    252,509x = 552,525 × 552,525
  4. Step 4: Simplify right side
    252,509x = 305,283,875,625
  5. Step 5: Solve for x
    x = 305,283,875,625/252,509
  6. Step 6: Final answer
    x = 1,209,001.96

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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.