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Finding the Third Proportional to 557,934 and 810,981

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Solution

The third proportional to 557,934 and 810,981 is: 1,178,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,934 : 810,981 = 810,981 : x
  2. Step 2: Convert to fraction form
    557,934/810,981 = 810,981/x
  3. Step 3: Cross multiply
    557,934x = 810,981 × 810,981
  4. Step 4: Simplify right side
    557,934x = 657,690,182,361
  5. Step 5: Solve for x
    x = 657,690,182,361/557,934
  6. Step 6: Final answer
    x = 1,178,795.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.