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Finding the Third Proportional to 333,034 and 507,839

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Solution

The third proportional to 333,034 and 507,839 is: 774,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,034 : 507,839 = 507,839 : x
  2. Step 2: Convert to fraction form
    333,034/507,839 = 507,839/x
  3. Step 3: Cross multiply
    333,034x = 507,839 × 507,839
  4. Step 4: Simplify right side
    333,034x = 257,900,449,921
  5. Step 5: Solve for x
    x = 257,900,449,921/333,034
  6. Step 6: Final answer
    x = 774,396.76

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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.