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Finding the Third Proportional to 284,424.75 and 614,400.19

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Solution

The third proportional to 284,424.75 and 614,400.19 is: 1,327,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,424.75 : 614,400.19 = 614,400.19 : x
  2. Step 2: Convert to fraction form
    284,424.75/614,400.19 = 614,400.19/x
  3. Step 3: Cross multiply
    284,424.75x = 614,400.19 × 614,400.19
  4. Step 4: Simplify right side
    284,424.75x = 377,487,590,400.04
  5. Step 5: Solve for x
    x = 377,487,590,400.04/284,424.75
  6. Step 6: Final answer
    x = 1,327,196.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.