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Finding the Third Proportional to 338,502 and 743,424

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Solution

The third proportional to 338,502 and 743,424 is: 1,632,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,502 : 743,424 = 743,424 : x
  2. Step 2: Convert to fraction form
    338,502/743,424 = 743,424/x
  3. Step 3: Cross multiply
    338,502x = 743,424 × 743,424
  4. Step 4: Simplify right side
    338,502x = 552,679,243,776
  5. Step 5: Solve for x
    x = 552,679,243,776/338,502
  6. Step 6: Final answer
    x = 1,632,720.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.