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Finding the Third Proportional to 399,294 and 603,099.75

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Solution

The third proportional to 399,294 and 603,099.75 is: 910,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,294 : 603,099.75 = 603,099.75 : x
  2. Step 2: Convert to fraction form
    399,294/603,099.75 = 603,099.75/x
  3. Step 3: Cross multiply
    399,294x = 603,099.75 × 603,099.75
  4. Step 4: Simplify right side
    399,294x = 363,729,308,450.06
  5. Step 5: Solve for x
    x = 363,729,308,450.06/399,294
  6. Step 6: Final answer
    x = 910,931.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.