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Finding the Third Proportional to 252,516 and 552,544

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Solution

The third proportional to 252,516 and 552,544 is: 1,209,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,516 : 552,544 = 552,544 : x
  2. Step 2: Convert to fraction form
    252,516/552,544 = 552,544/x
  3. Step 3: Cross multiply
    252,516x = 552,544 × 552,544
  4. Step 4: Simplify right side
    252,516x = 305,304,871,936
  5. Step 5: Solve for x
    x = 305,304,871,936/252,516
  6. Step 6: Final answer
    x = 1,209,051.59

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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.