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Finding the Third Proportional to 284,365.50 and 658,317.75

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Solution

The third proportional to 284,365.50 and 658,317.75 is: 1,524,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365.50 : 658,317.75 = 658,317.75 : x
  2. Step 2: Convert to fraction form
    284,365.50/658,317.75 = 658,317.75/x
  3. Step 3: Cross multiply
    284,365.50x = 658,317.75 × 658,317.75
  4. Step 4: Simplify right side
    284,365.50x = 433,382,259,965.06
  5. Step 5: Solve for x
    x = 433,382,259,965.06/284,365.50
  6. Step 6: Final answer
    x = 1,524,032.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.