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Finding the Third Proportional to 434,038.50 and 952,116.75

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Solution

The third proportional to 434,038.50 and 952,116.75 is: 2,088,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,038.50 : 952,116.75 = 952,116.75 : x
  2. Step 2: Convert to fraction form
    434,038.50/952,116.75 = 952,116.75/x
  3. Step 3: Cross multiply
    434,038.50x = 952,116.75 × 952,116.75
  4. Step 4: Simplify right side
    434,038.50x = 906,526,305,630.56
  5. Step 5: Solve for x
    x = 906,526,305,630.56/434,038.50
  6. Step 6: Final answer
    x = 2,088,585.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.