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Finding the Third Proportional to 456,466.84 and 709,617.96

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Solution

The third proportional to 456,466.84 and 709,617.96 is: 1,103,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,466.84 : 709,617.96 = 709,617.96 : x
  2. Step 2: Convert to fraction form
    456,466.84/709,617.96 = 709,617.96/x
  3. Step 3: Cross multiply
    456,466.84x = 709,617.96 × 709,617.96
  4. Step 4: Simplify right side
    456,466.84x = 503,557,651,524.54
  5. Step 5: Solve for x
    x = 503,557,651,524.54/456,466.84
  6. Step 6: Final answer
    x = 1,103,163.71

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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.