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Finding the Third Proportional to 363,271.50 and 566,982

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Solution

The third proportional to 363,271.50 and 566,982 is: 884,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,271.50 : 566,982 = 566,982 : x
  2. Step 2: Convert to fraction form
    363,271.50/566,982 = 566,982/x
  3. Step 3: Cross multiply
    363,271.50x = 566,982 × 566,982
  4. Step 4: Simplify right side
    363,271.50x = 321,468,588,324
  5. Step 5: Solve for x
    x = 321,468,588,324/363,271.50
  6. Step 6: Final answer
    x = 884,926.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.