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Finding the Third Proportional to 240,751.50 and 512,607

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Solution

The third proportional to 240,751.50 and 512,607 is: 1,091,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,751.50 : 512,607 = 512,607 : x
  2. Step 2: Convert to fraction form
    240,751.50/512,607 = 512,607/x
  3. Step 3: Cross multiply
    240,751.50x = 512,607 × 512,607
  4. Step 4: Simplify right side
    240,751.50x = 262,765,936,449
  5. Step 5: Solve for x
    x = 262,765,936,449/240,751.50
  6. Step 6: Final answer
    x = 1,091,440.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.