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Finding the Third Proportional to 421,513.88 and 642,765.38

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Solution

The third proportional to 421,513.88 and 642,765.38 is: 980,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,513.88 : 642,765.38 = 642,765.38 : x
  2. Step 2: Convert to fraction form
    421,513.88/642,765.38 = 642,765.38/x
  3. Step 3: Cross multiply
    421,513.88x = 642,765.38 × 642,765.38
  4. Step 4: Simplify right side
    421,513.88x = 413,147,327,298.89
  5. Step 5: Solve for x
    x = 413,147,327,298.89/421,513.88
  6. Step 6: Final answer
    x = 980,151.19

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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.