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Finding the Third Proportional to 304,720.63 and 656,268

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Solution

The third proportional to 304,720.63 and 656,268 is: 1,413,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,720.63 : 656,268 = 656,268 : x
  2. Step 2: Convert to fraction form
    304,720.63/656,268 = 656,268/x
  3. Step 3: Cross multiply
    304,720.63x = 656,268 × 656,268
  4. Step 4: Simplify right side
    304,720.63x = 430,687,687,824
  5. Step 5: Solve for x
    x = 430,687,687,824/304,720.63
  6. Step 6: Final answer
    x = 1,413,385.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.