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Finding the Third Proportional to 356,588.50 and 485,674.50

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Solution

The third proportional to 356,588.50 and 485,674.50 is: 661,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,588.50 : 485,674.50 = 485,674.50 : x
  2. Step 2: Convert to fraction form
    356,588.50/485,674.50 = 485,674.50/x
  3. Step 3: Cross multiply
    356,588.50x = 485,674.50 × 485,674.50
  4. Step 4: Simplify right side
    356,588.50x = 235,879,719,950.25
  5. Step 5: Solve for x
    x = 235,879,719,950.25/356,588.50
  6. Step 6: Final answer
    x = 661,489.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.