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Finding the Third Proportional to 296,311.50 and 627,888.38

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Solution

The third proportional to 296,311.50 and 627,888.38 is: 1,330,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,311.50 : 627,888.38 = 627,888.38 : x
  2. Step 2: Convert to fraction form
    296,311.50/627,888.38 = 627,888.38/x
  3. Step 3: Cross multiply
    296,311.50x = 627,888.38 × 627,888.38
  4. Step 4: Simplify right side
    296,311.50x = 394,243,811,460.14
  5. Step 5: Solve for x
    x = 394,243,811,460.14/296,311.50
  6. Step 6: Final answer
    x = 1,330,504.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.