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Finding the Third Proportional to 451,647 and 664,987.50

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Solution

The third proportional to 451,647 and 664,987.50 is: 979,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,647 : 664,987.50 = 664,987.50 : x
  2. Step 2: Convert to fraction form
    451,647/664,987.50 = 664,987.50/x
  3. Step 3: Cross multiply
    451,647x = 664,987.50 × 664,987.50
  4. Step 4: Simplify right side
    451,647x = 442,208,375,156.25
  5. Step 5: Solve for x
    x = 442,208,375,156.25/451,647
  6. Step 6: Final answer
    x = 979,101.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.