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Finding the Third Proportional to 491,205.75 and 738,633

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Solution

The third proportional to 491,205.75 and 738,633 is: 1,110,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,205.75 : 738,633 = 738,633 : x
  2. Step 2: Convert to fraction form
    491,205.75/738,633 = 738,633/x
  3. Step 3: Cross multiply
    491,205.75x = 738,633 × 738,633
  4. Step 4: Simplify right side
    491,205.75x = 545,578,708,689
  5. Step 5: Solve for x
    x = 545,578,708,689/491,205.75
  6. Step 6: Final answer
    x = 1,110,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.