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Finding the Third Proportional to 296,193.38 and 446,907.38

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Solution

The third proportional to 296,193.38 and 446,907.38 is: 674,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,193.38 : 446,907.38 = 446,907.38 : x
  2. Step 2: Convert to fraction form
    296,193.38/446,907.38 = 446,907.38/x
  3. Step 3: Cross multiply
    296,193.38x = 446,907.38 × 446,907.38
  4. Step 4: Simplify right side
    296,193.38x = 199,726,201,829.39
  5. Step 5: Solve for x
    x = 199,726,201,829.39/296,193.38
  6. Step 6: Final answer
    x = 674,310.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.