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Finding the Third Proportional to 510,648.75 and 768,175.88

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Solution

The third proportional to 510,648.75 and 768,175.88 is: 1,155,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,648.75 : 768,175.88 = 768,175.88 : x
  2. Step 2: Convert to fraction form
    510,648.75/768,175.88 = 768,175.88/x
  3. Step 3: Cross multiply
    510,648.75x = 768,175.88 × 768,175.88
  4. Step 4: Simplify right side
    510,648.75x = 590,094,174,932.02
  5. Step 5: Solve for x
    x = 590,094,174,932.02/510,648.75
  6. Step 6: Final answer
    x = 1,155,577.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.