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Finding the Third Proportional to 427,396.50 and 664,407.75

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Solution

The third proportional to 427,396.50 and 664,407.75 is: 1,032,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,396.50 : 664,407.75 = 664,407.75 : x
  2. Step 2: Convert to fraction form
    427,396.50/664,407.75 = 664,407.75/x
  3. Step 3: Cross multiply
    427,396.50x = 664,407.75 × 664,407.75
  4. Step 4: Simplify right side
    427,396.50x = 441,437,658,260.06
  5. Step 5: Solve for x
    x = 441,437,658,260.06/427,396.50
  6. Step 6: Final answer
    x = 1,032,852.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.