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Finding the Third Proportional to 420,430.50 and 635,019.75

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Solution

The third proportional to 420,430.50 and 635,019.75 is: 959,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,430.50 : 635,019.75 = 635,019.75 : x
  2. Step 2: Convert to fraction form
    420,430.50/635,019.75 = 635,019.75/x
  3. Step 3: Cross multiply
    420,430.50x = 635,019.75 × 635,019.75
  4. Step 4: Simplify right side
    420,430.50x = 403,250,082,890.06
  5. Step 5: Solve for x
    x = 403,250,082,890.06/420,430.50
  6. Step 6: Final answer
    x = 959,136.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.