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Finding the Third Proportional to 401,618.75 and 535,431.75

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Solution

The third proportional to 401,618.75 and 535,431.75 is: 713,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,618.75 : 535,431.75 = 535,431.75 : x
  2. Step 2: Convert to fraction form
    401,618.75/535,431.75 = 535,431.75/x
  3. Step 3: Cross multiply
    401,618.75x = 535,431.75 × 535,431.75
  4. Step 4: Simplify right side
    401,618.75x = 286,687,158,908.06
  5. Step 5: Solve for x
    x = 286,687,158,908.06/401,618.75
  6. Step 6: Final answer
    x = 713,829.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.