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Finding the Third Proportional to 733,563 and 1,096,105.50

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Solution

The third proportional to 733,563 and 1,096,105.50 is: 1,637,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,563 : 1,096,105.50 = 1,096,105.50 : x
  2. Step 2: Convert to fraction form
    733,563/1,096,105.50 = 1,096,105.50/x
  3. Step 3: Cross multiply
    733,563x = 1,096,105.50 × 1,096,105.50
  4. Step 4: Simplify right side
    733,563x = 1,201,447,267,130.25
  5. Step 5: Solve for x
    x = 1,201,447,267,130.25/733,563
  6. Step 6: Final answer
    x = 1,637,824.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.