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Finding the Third Proportional to 240,372.50 and 512,924

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Solution

The third proportional to 240,372.50 and 512,924 is: 1,094,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,372.50 : 512,924 = 512,924 : x
  2. Step 2: Convert to fraction form
    240,372.50/512,924 = 512,924/x
  3. Step 3: Cross multiply
    240,372.50x = 512,924 × 512,924
  4. Step 4: Simplify right side
    240,372.50x = 263,091,029,776
  5. Step 5: Solve for x
    x = 263,091,029,776/240,372.50
  6. Step 6: Final answer
    x = 1,094,513.85

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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.