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Finding the Third Proportional to 284,601.75 and 432,728.25

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Solution

The third proportional to 284,601.75 and 432,728.25 is: 657,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,601.75 : 432,728.25 = 432,728.25 : x
  2. Step 2: Convert to fraction form
    284,601.75/432,728.25 = 432,728.25/x
  3. Step 3: Cross multiply
    284,601.75x = 432,728.25 × 432,728.25
  4. Step 4: Simplify right side
    284,601.75x = 187,253,738,348.06
  5. Step 5: Solve for x
    x = 187,253,738,348.06/284,601.75
  6. Step 6: Final answer
    x = 657,950.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.