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Finding the Third Proportional to 287,066 and 670,502.75

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Solution

The third proportional to 287,066 and 670,502.75 is: 1,566,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,066 : 670,502.75 = 670,502.75 : x
  2. Step 2: Convert to fraction form
    287,066/670,502.75 = 670,502.75/x
  3. Step 3: Cross multiply
    287,066x = 670,502.75 × 670,502.75
  4. Step 4: Simplify right side
    287,066x = 449,573,937,757.56
  5. Step 5: Solve for x
    x = 449,573,937,757.56/287,066
  6. Step 6: Final answer
    x = 1,566,099.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.