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Finding the Third Proportional to 491,703.75 and 759,391.88

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Solution

The third proportional to 491,703.75 and 759,391.88 is: 1,172,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.75 : 759,391.88 = 759,391.88 : x
  2. Step 2: Convert to fraction form
    491,703.75/759,391.88 = 759,391.88/x
  3. Step 3: Cross multiply
    491,703.75x = 759,391.88 × 759,391.88
  4. Step 4: Simplify right side
    491,703.75x = 576,676,019,816.02
  5. Step 5: Solve for x
    x = 576,676,019,816.02/491,703.75
  6. Step 6: Final answer
    x = 1,172,811.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.