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Finding the Third Proportional to 497,783.25 and 1,170,096.75

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Solution

The third proportional to 497,783.25 and 1,170,096.75 is: 2,750,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,783.25 : 1,170,096.75 = 1,170,096.75 : x
  2. Step 2: Convert to fraction form
    497,783.25/1,170,096.75 = 1,170,096.75/x
  3. Step 3: Cross multiply
    497,783.25x = 1,170,096.75 × 1,170,096.75
  4. Step 4: Simplify right side
    497,783.25x = 1,369,126,404,360.56
  5. Step 5: Solve for x
    x = 1,369,126,404,360.56/497,783.25
  6. Step 6: Final answer
    x = 2,750,446.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.