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Finding the Third Proportional to 243,486.50 and 533,675

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Solution

The third proportional to 243,486.50 and 533,675 is: 1,169,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,486.50 : 533,675 = 533,675 : x
  2. Step 2: Convert to fraction form
    243,486.50/533,675 = 533,675/x
  3. Step 3: Cross multiply
    243,486.50x = 533,675 × 533,675
  4. Step 4: Simplify right side
    243,486.50x = 284,809,005,625
  5. Step 5: Solve for x
    x = 284,809,005,625/243,486.50
  6. Step 6: Final answer
    x = 1,169,711.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.