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Finding the Third Proportional to 646,237.13 and 905,581.13

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Solution

The third proportional to 646,237.13 and 905,581.13 is: 1,269,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,237.13 : 905,581.13 = 905,581.13 : x
  2. Step 2: Convert to fraction form
    646,237.13/905,581.13 = 905,581.13/x
  3. Step 3: Cross multiply
    646,237.13x = 905,581.13 × 905,581.13
  4. Step 4: Simplify right side
    646,237.13x = 820,077,173,956.27
  5. Step 5: Solve for x
    x = 820,077,173,956.27/646,237.13
  6. Step 6: Final answer
    x = 1,269,003.50

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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.