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Finding the Third Proportional to 401,320.50 and 535,002.75

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Solution

The third proportional to 401,320.50 and 535,002.75 is: 713,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,320.50 : 535,002.75 = 535,002.75 : x
  2. Step 2: Convert to fraction form
    401,320.50/535,002.75 = 535,002.75/x
  3. Step 3: Cross multiply
    401,320.50x = 535,002.75 × 535,002.75
  4. Step 4: Simplify right side
    401,320.50x = 286,227,942,507.56
  5. Step 5: Solve for x
    x = 286,227,942,507.56/401,320.50
  6. Step 6: Final answer
    x = 713,215.35

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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.