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Finding the Third Proportional to 529,123.50 and 753,993

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Solution

The third proportional to 529,123.50 and 753,993 is: 1,074,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,123.50 : 753,993 = 753,993 : x
  2. Step 2: Convert to fraction form
    529,123.50/753,993 = 753,993/x
  3. Step 3: Cross multiply
    529,123.50x = 753,993 × 753,993
  4. Step 4: Simplify right side
    529,123.50x = 568,505,444,049
  5. Step 5: Solve for x
    x = 568,505,444,049/529,123.50
  6. Step 6: Final answer
    x = 1,074,428.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.