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Finding the Third Proportional to 261,824.91 and 400,352.63

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Solution

The third proportional to 261,824.91 and 400,352.63 is: 612,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,824.91 : 400,352.63 = 400,352.63 : x
  2. Step 2: Convert to fraction form
    261,824.91/400,352.63 = 400,352.63/x
  3. Step 3: Cross multiply
    261,824.91x = 400,352.63 × 400,352.63
  4. Step 4: Simplify right side
    261,824.91x = 160,282,224,344.39
  5. Step 5: Solve for x
    x = 160,282,224,344.39/261,824.91
  6. Step 6: Final answer
    x = 612,173.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.