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Finding the Third Proportional to 427,363.50 and 664,356

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Solution

The third proportional to 427,363.50 and 664,356 is: 1,032,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,363.50 : 664,356 = 664,356 : x
  2. Step 2: Convert to fraction form
    427,363.50/664,356 = 664,356/x
  3. Step 3: Cross multiply
    427,363.50x = 664,356 × 664,356
  4. Step 4: Simplify right side
    427,363.50x = 441,368,894,736
  5. Step 5: Solve for x
    x = 441,368,894,736/427,363.50
  6. Step 6: Final answer
    x = 1,032,771.62

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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.