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Finding the Third Proportional to 331,533 and 723,793.50

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Solution

The third proportional to 331,533 and 723,793.50 is: 1,580,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,533 : 723,793.50 = 723,793.50 : x
  2. Step 2: Convert to fraction form
    331,533/723,793.50 = 723,793.50/x
  3. Step 3: Cross multiply
    331,533x = 723,793.50 × 723,793.50
  4. Step 4: Simplify right side
    331,533x = 523,877,030,642.25
  5. Step 5: Solve for x
    x = 523,877,030,642.25/331,533
  6. Step 6: Final answer
    x = 1,580,165.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.