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Finding the Third Proportional to 353,136 and 537,864

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Solution

The third proportional to 353,136 and 537,864 is: 819,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,136 : 537,864 = 537,864 : x
  2. Step 2: Convert to fraction form
    353,136/537,864 = 537,864/x
  3. Step 3: Cross multiply
    353,136x = 537,864 × 537,864
  4. Step 4: Simplify right side
    353,136x = 289,297,682,496
  5. Step 5: Solve for x
    x = 289,297,682,496/353,136
  6. Step 6: Final answer
    x = 819,224.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.