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Finding the Third Proportional to 491,705.25 and 759,395.25

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Solution

The third proportional to 491,705.25 and 759,395.25 is: 1,172,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,705.25 : 759,395.25 = 759,395.25 : x
  2. Step 2: Convert to fraction form
    491,705.25/759,395.25 = 759,395.25/x
  3. Step 3: Cross multiply
    491,705.25x = 759,395.25 × 759,395.25
  4. Step 4: Simplify right side
    491,705.25x = 576,681,145,722.56
  5. Step 5: Solve for x
    x = 576,681,145,722.56/491,705.25
  6. Step 6: Final answer
    x = 1,172,818.77

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Why These Related Problems?

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