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Finding the Third Proportional to 330,254.09 and 506,042.75

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Solution

The third proportional to 330,254.09 and 506,042.75 is: 775,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,254.09 : 506,042.75 = 506,042.75 : x
  2. Step 2: Convert to fraction form
    330,254.09/506,042.75 = 506,042.75/x
  3. Step 3: Cross multiply
    330,254.09x = 506,042.75 × 506,042.75
  4. Step 4: Simplify right side
    330,254.09x = 256,079,268,781.02
  5. Step 5: Solve for x
    x = 256,079,268,781.02/330,254.09
  6. Step 6: Final answer
    x = 775,400.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.