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Finding the Third Proportional to 284,125.50 and 431,372.25

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Solution

The third proportional to 284,125.50 and 431,372.25 is: 654,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,125.50 : 431,372.25 = 431,372.25 : x
  2. Step 2: Convert to fraction form
    284,125.50/431,372.25 = 431,372.25/x
  3. Step 3: Cross multiply
    284,125.50x = 431,372.25 × 431,372.25
  4. Step 4: Simplify right side
    284,125.50x = 186,082,018,070.06
  5. Step 5: Solve for x
    x = 186,082,018,070.06/284,125.50
  6. Step 6: Final answer
    x = 654,928.96

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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.