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Finding the Third Proportional to 246,281.50 and 531,857

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Solution

The third proportional to 246,281.50 and 531,857 is: 1,148,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,281.50 : 531,857 = 531,857 : x
  2. Step 2: Convert to fraction form
    246,281.50/531,857 = 531,857/x
  3. Step 3: Cross multiply
    246,281.50x = 531,857 × 531,857
  4. Step 4: Simplify right side
    246,281.50x = 282,871,868,449
  5. Step 5: Solve for x
    x = 282,871,868,449/246,281.50
  6. Step 6: Final answer
    x = 1,148,571.32

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Why These Related Problems?

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