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Finding the Third Proportional to 451,599 and 664,922.50

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Solution

The third proportional to 451,599 and 664,922.50 is: 979,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,599 : 664,922.50 = 664,922.50 : x
  2. Step 2: Convert to fraction form
    451,599/664,922.50 = 664,922.50/x
  3. Step 3: Cross multiply
    451,599x = 664,922.50 × 664,922.50
  4. Step 4: Simplify right side
    451,599x = 442,121,931,006.25
  5. Step 5: Solve for x
    x = 442,121,931,006.25/451,599
  6. Step 6: Final answer
    x = 979,014.42

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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.