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Finding the Third Proportional to 339,136 and 524,883

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Solution

The third proportional to 339,136 and 524,883 is: 812,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,136 : 524,883 = 524,883 : x
  2. Step 2: Convert to fraction form
    339,136/524,883 = 524,883/x
  3. Step 3: Cross multiply
    339,136x = 524,883 × 524,883
  4. Step 4: Simplify right side
    339,136x = 275,502,163,689
  5. Step 5: Solve for x
    x = 275,502,163,689/339,136
  6. Step 6: Final answer
    x = 812,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.