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Finding the Third Proportional to 434,016.56 and 950,782.50

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Solution

The third proportional to 434,016.56 and 950,782.50 is: 2,082,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,016.56 : 950,782.50 = 950,782.50 : x
  2. Step 2: Convert to fraction form
    434,016.56/950,782.50 = 950,782.50/x
  3. Step 3: Cross multiply
    434,016.56x = 950,782.50 × 950,782.50
  4. Step 4: Simplify right side
    434,016.56x = 903,987,362,306.25
  5. Step 5: Solve for x
    x = 903,987,362,306.25/434,016.56
  6. Step 6: Final answer
    x = 2,082,840.70

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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.