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Finding the Third Proportional to 635,284.13 and 905,577.75

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Solution

The third proportional to 635,284.13 and 905,577.75 is: 1,290,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,284.13 : 905,577.75 = 905,577.75 : x
  2. Step 2: Convert to fraction form
    635,284.13/905,577.75 = 905,577.75/x
  3. Step 3: Cross multiply
    635,284.13x = 905,577.75 × 905,577.75
  4. Step 4: Simplify right side
    635,284.13x = 820,071,061,295.06
  5. Step 5: Solve for x
    x = 820,071,061,295.06/635,284.13
  6. Step 6: Final answer
    x = 1,290,872.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.