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Finding the Third Proportional to 441,758.50 and 961,729

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Solution

The third proportional to 441,758.50 and 961,729 is: 2,093,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,758.50 : 961,729 = 961,729 : x
  2. Step 2: Convert to fraction form
    441,758.50/961,729 = 961,729/x
  3. Step 3: Cross multiply
    441,758.50x = 961,729 × 961,729
  4. Step 4: Simplify right side
    441,758.50x = 924,922,669,441
  5. Step 5: Solve for x
    x = 924,922,669,441/441,758.50
  6. Step 6: Final answer
    x = 2,093,729.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.