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Finding the Third Proportional to 338,032.50 and 505,995.75

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Solution

The third proportional to 338,032.50 and 505,995.75 is: 757,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,032.50 : 505,995.75 = 505,995.75 : x
  2. Step 2: Convert to fraction form
    338,032.50/505,995.75 = 505,995.75/x
  3. Step 3: Cross multiply
    338,032.50x = 505,995.75 × 505,995.75
  4. Step 4: Simplify right side
    338,032.50x = 256,031,699,018.06
  5. Step 5: Solve for x
    x = 256,031,699,018.06/338,032.50
  6. Step 6: Final answer
    x = 757,417.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.