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Finding the Third Proportional to 507,996 and 696,601.25

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Solution

The third proportional to 507,996 and 696,601.25 is: 955,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,996 : 696,601.25 = 696,601.25 : x
  2. Step 2: Convert to fraction form
    507,996/696,601.25 = 696,601.25/x
  3. Step 3: Cross multiply
    507,996x = 696,601.25 × 696,601.25
  4. Step 4: Simplify right side
    507,996x = 485,253,301,501.56
  5. Step 5: Solve for x
    x = 485,253,301,501.56/507,996
  6. Step 6: Final answer
    x = 955,230.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.