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Finding the Third Proportional to 646,246.13 and 905,593.50

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Solution

The third proportional to 646,246.13 and 905,593.50 is: 1,269,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,246.13 : 905,593.50 = 905,593.50 : x
  2. Step 2: Convert to fraction form
    646,246.13/905,593.50 = 905,593.50/x
  3. Step 3: Cross multiply
    646,246.13x = 905,593.50 × 905,593.50
  4. Step 4: Simplify right side
    646,246.13x = 820,099,587,242.25
  5. Step 5: Solve for x
    x = 820,099,587,242.25/646,246.13
  6. Step 6: Final answer
    x = 1,269,020.51

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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.