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Finding the Third Proportional to 349,064.25 and 533,748.75

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Solution

The third proportional to 349,064.25 and 533,748.75 is: 816,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,064.25 : 533,748.75 = 533,748.75 : x
  2. Step 2: Convert to fraction form
    349,064.25/533,748.75 = 533,748.75/x
  3. Step 3: Cross multiply
    349,064.25x = 533,748.75 × 533,748.75
  4. Step 4: Simplify right side
    349,064.25x = 284,887,728,126.56
  5. Step 5: Solve for x
    x = 284,887,728,126.56/349,064.25
  6. Step 6: Final answer
    x = 816,146.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.