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Finding the Third Proportional to 397,224 and 936,931.50

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Solution

The third proportional to 397,224 and 936,931.50 is: 2,209,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,224 : 936,931.50 = 936,931.50 : x
  2. Step 2: Convert to fraction form
    397,224/936,931.50 = 936,931.50/x
  3. Step 3: Cross multiply
    397,224x = 936,931.50 × 936,931.50
  4. Step 4: Simplify right side
    397,224x = 877,840,635,692.25
  5. Step 5: Solve for x
    x = 877,840,635,692.25/397,224
  6. Step 6: Final answer
    x = 2,209,938.56

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.