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Finding the Third Proportional to 445,830 and 691,101

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Solution

The third proportional to 445,830 and 691,101 is: 1,071,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,830 : 691,101 = 691,101 : x
  2. Step 2: Convert to fraction form
    445,830/691,101 = 691,101/x
  3. Step 3: Cross multiply
    445,830x = 691,101 × 691,101
  4. Step 4: Simplify right side
    445,830x = 477,620,592,201
  5. Step 5: Solve for x
    x = 477,620,592,201/445,830
  6. Step 6: Final answer
    x = 1,071,306.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.