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Finding the Third Proportional to 474,987 and 743,584.50

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Solution

The third proportional to 474,987 and 743,584.50 is: 1,164,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,987 : 743,584.50 = 743,584.50 : x
  2. Step 2: Convert to fraction form
    474,987/743,584.50 = 743,584.50/x
  3. Step 3: Cross multiply
    474,987x = 743,584.50 × 743,584.50
  4. Step 4: Simplify right side
    474,987x = 552,917,908,640.25
  5. Step 5: Solve for x
    x = 552,917,908,640.25/474,987
  6. Step 6: Final answer
    x = 1,164,069.56

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.