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Finding the Third Proportional to 263,135.50 and 568,364

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Solution

The third proportional to 263,135.50 and 568,364 is: 1,227,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,135.50 : 568,364 = 568,364 : x
  2. Step 2: Convert to fraction form
    263,135.50/568,364 = 568,364/x
  3. Step 3: Cross multiply
    263,135.50x = 568,364 × 568,364
  4. Step 4: Simplify right side
    263,135.50x = 323,037,636,496
  5. Step 5: Solve for x
    x = 323,037,636,496/263,135.50
  6. Step 6: Final answer
    x = 1,227,647.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.