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Finding the Third Proportional to 252,618 and 540,249

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Solution

The third proportional to 252,618 and 540,249 is: 1,155,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,618 : 540,249 = 540,249 : x
  2. Step 2: Convert to fraction form
    252,618/540,249 = 540,249/x
  3. Step 3: Cross multiply
    252,618x = 540,249 × 540,249
  4. Step 4: Simplify right side
    252,618x = 291,868,982,001
  5. Step 5: Solve for x
    x = 291,868,982,001/252,618
  6. Step 6: Final answer
    x = 1,155,376.82

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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.