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Finding the Third Proportional to 338,643.50 and 461,248

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Solution

The third proportional to 338,643.50 and 461,248 is: 628,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,643.50 : 461,248 = 461,248 : x
  2. Step 2: Convert to fraction form
    338,643.50/461,248 = 461,248/x
  3. Step 3: Cross multiply
    338,643.50x = 461,248 × 461,248
  4. Step 4: Simplify right side
    338,643.50x = 212,749,717,504
  5. Step 5: Solve for x
    x = 212,749,717,504/338,643.50
  6. Step 6: Final answer
    x = 628,240.96

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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.