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Finding the Third Proportional to 431,577.25 and 653,363.75

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Solution

The third proportional to 431,577.25 and 653,363.75 is: 989,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,577.25 : 653,363.75 = 653,363.75 : x
  2. Step 2: Convert to fraction form
    431,577.25/653,363.75 = 653,363.75/x
  3. Step 3: Cross multiply
    431,577.25x = 653,363.75 × 653,363.75
  4. Step 4: Simplify right side
    431,577.25x = 426,884,189,814.06
  5. Step 5: Solve for x
    x = 426,884,189,814.06/431,577.25
  6. Step 6: Final answer
    x = 989,125.79

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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.