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Finding the Third Proportional to 331,618 and 525,898

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Solution

The third proportional to 331,618 and 525,898 is: 833,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,618 : 525,898 = 525,898 : x
  2. Step 2: Convert to fraction form
    331,618/525,898 = 525,898/x
  3. Step 3: Cross multiply
    331,618x = 525,898 × 525,898
  4. Step 4: Simplify right side
    331,618x = 276,568,706,404
  5. Step 5: Solve for x
    x = 276,568,706,404/331,618
  6. Step 6: Final answer
    x = 833,997.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.