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Finding the Third Proportional to 733,495.50 and 1,122,037.31

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Solution

The third proportional to 733,495.50 and 1,122,037.31 is: 1,716,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,495.50 : 1,122,037.31 = 1,122,037.31 : x
  2. Step 2: Convert to fraction form
    733,495.50/1,122,037.31 = 1,122,037.31/x
  3. Step 3: Cross multiply
    733,495.50x = 1,122,037.31 × 1,122,037.31
  4. Step 4: Simplify right side
    733,495.50x = 1,258,967,730,642.22
  5. Step 5: Solve for x
    x = 1,258,967,730,642.22/733,495.50
  6. Step 6: Final answer
    x = 1,716,394.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.