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Finding the Third Proportional to 674,283 and 948,493.50

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Solution

The third proportional to 674,283 and 948,493.50 is: 1,334,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,283 : 948,493.50 = 948,493.50 : x
  2. Step 2: Convert to fraction form
    674,283/948,493.50 = 948,493.50/x
  3. Step 3: Cross multiply
    674,283x = 948,493.50 × 948,493.50
  4. Step 4: Simplify right side
    674,283x = 899,639,919,542.25
  5. Step 5: Solve for x
    x = 899,639,919,542.25/674,283
  6. Step 6: Final answer
    x = 1,334,217.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.