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Finding the Third Proportional to 284,433.75 and 425,846.25

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Solution

The third proportional to 284,433.75 and 425,846.25 is: 637,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,433.75 : 425,846.25 = 425,846.25 : x
  2. Step 2: Convert to fraction form
    284,433.75/425,846.25 = 425,846.25/x
  3. Step 3: Cross multiply
    284,433.75x = 425,846.25 × 425,846.25
  4. Step 4: Simplify right side
    284,433.75x = 181,345,028,639.06
  5. Step 5: Solve for x
    x = 181,345,028,639.06/284,433.75
  6. Step 6: Final answer
    x = 637,565.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.