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Finding the Third Proportional to 403,942.36 and 614,306.53

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Solution

The third proportional to 403,942.36 and 614,306.53 is: 934,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,942.36 : 614,306.53 = 614,306.53 : x
  2. Step 2: Convert to fraction form
    403,942.36/614,306.53 = 614,306.53/x
  3. Step 3: Cross multiply
    403,942.36x = 614,306.53 × 614,306.53
  4. Step 4: Simplify right side
    403,942.36x = 377,372,514,336.41
  5. Step 5: Solve for x
    x = 377,372,514,336.41/403,942.36
  6. Step 6: Final answer
    x = 934,223.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.