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Finding the Third Proportional to 252,434 and 540,832

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Solution

The third proportional to 252,434 and 540,832 is: 1,158,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,434 : 540,832 = 540,832 : x
  2. Step 2: Convert to fraction form
    252,434/540,832 = 540,832/x
  3. Step 3: Cross multiply
    252,434x = 540,832 × 540,832
  4. Step 4: Simplify right side
    252,434x = 292,499,252,224
  5. Step 5: Solve for x
    x = 292,499,252,224/252,434
  6. Step 6: Final answer
    x = 1,158,715.75

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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.