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Finding the Third Proportional to 335,310.75 and 507,299.63

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Solution

The third proportional to 335,310.75 and 507,299.63 is: 767,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,310.75 : 507,299.63 = 507,299.63 : x
  2. Step 2: Convert to fraction form
    335,310.75/507,299.63 = 507,299.63/x
  3. Step 3: Cross multiply
    335,310.75x = 507,299.63 × 507,299.63
  4. Step 4: Simplify right side
    335,310.75x = 257,352,909,525.14
  5. Step 5: Solve for x
    x = 257,352,909,525.14/335,310.75
  6. Step 6: Final answer
    x = 767,505.69

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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.