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Finding the Third Proportional to 423,765 and 914,749.50

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Solution

The third proportional to 423,765 and 914,749.50 is: 1,974,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,765 : 914,749.50 = 914,749.50 : x
  2. Step 2: Convert to fraction form
    423,765/914,749.50 = 914,749.50/x
  3. Step 3: Cross multiply
    423,765x = 914,749.50 × 914,749.50
  4. Step 4: Simplify right side
    423,765x = 836,766,647,750.25
  5. Step 5: Solve for x
    x = 836,766,647,750.25/423,765
  6. Step 6: Final answer
    x = 1,974,600.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.