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Finding the Third Proportional to 281,882 and 593,275

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Solution

The third proportional to 281,882 and 593,275 is: 1,248,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,882 : 593,275 = 593,275 : x
  2. Step 2: Convert to fraction form
    281,882/593,275 = 593,275/x
  3. Step 3: Cross multiply
    281,882x = 593,275 × 593,275
  4. Step 4: Simplify right side
    281,882x = 351,975,225,625
  5. Step 5: Solve for x
    x = 351,975,225,625/281,882
  6. Step 6: Final answer
    x = 1,248,661.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.