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Finding the Third Proportional to 252,620 and 540,252

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Solution

The third proportional to 252,620 and 540,252 is: 1,155,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,620 : 540,252 = 540,252 : x
  2. Step 2: Convert to fraction form
    252,620/540,252 = 540,252/x
  3. Step 3: Cross multiply
    252,620x = 540,252 × 540,252
  4. Step 4: Simplify right side
    252,620x = 291,872,223,504
  5. Step 5: Solve for x
    x = 291,872,223,504/252,620
  6. Step 6: Final answer
    x = 1,155,380.51

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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.