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Finding the Third Proportional to 641,640 and 897,025.50

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Solution

The third proportional to 641,640 and 897,025.50 is: 1,254,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,640 : 897,025.50 = 897,025.50 : x
  2. Step 2: Convert to fraction form
    641,640/897,025.50 = 897,025.50/x
  3. Step 3: Cross multiply
    641,640x = 897,025.50 × 897,025.50
  4. Step 4: Simplify right side
    641,640x = 804,654,747,650.25
  5. Step 5: Solve for x
    x = 804,654,747,650.25/641,640
  6. Step 6: Final answer
    x = 1,254,059.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.