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Finding the Third Proportional to 382,253 and 534,643.50

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Solution

The third proportional to 382,253 and 534,643.50 is: 747,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,253 : 534,643.50 = 534,643.50 : x
  2. Step 2: Convert to fraction form
    382,253/534,643.50 = 534,643.50/x
  3. Step 3: Cross multiply
    382,253x = 534,643.50 × 534,643.50
  4. Step 4: Simplify right side
    382,253x = 285,843,672,092.25
  5. Step 5: Solve for x
    x = 285,843,672,092.25/382,253
  6. Step 6: Final answer
    x = 747,786.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.