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Finding the Third Proportional to 254,808 and 539,952

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Solution

The third proportional to 254,808 and 539,952 is: 1,144,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,808 : 539,952 = 539,952 : x
  2. Step 2: Convert to fraction form
    254,808/539,952 = 539,952/x
  3. Step 3: Cross multiply
    254,808x = 539,952 × 539,952
  4. Step 4: Simplify right side
    254,808x = 291,548,162,304
  5. Step 5: Solve for x
    x = 291,548,162,304/254,808
  6. Step 6: Final answer
    x = 1,144,187.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.