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Finding the Third Proportional to 641,604 and 897,008.25

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Solution

The third proportional to 641,604 and 897,008.25 is: 1,254,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,604 : 897,008.25 = 897,008.25 : x
  2. Step 2: Convert to fraction form
    641,604/897,008.25 = 897,008.25/x
  3. Step 3: Cross multiply
    641,604x = 897,008.25 × 897,008.25
  4. Step 4: Simplify right side
    641,604x = 804,623,800,568.06
  5. Step 5: Solve for x
    x = 804,623,800,568.06/641,604
  6. Step 6: Final answer
    x = 1,254,081.65

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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.