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Finding the Third Proportional to 333,136 and 437,378

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Solution

The third proportional to 333,136 and 437,378 is: 574,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,136 : 437,378 = 437,378 : x
  2. Step 2: Convert to fraction form
    333,136/437,378 = 437,378/x
  3. Step 3: Cross multiply
    333,136x = 437,378 × 437,378
  4. Step 4: Simplify right side
    333,136x = 191,299,514,884
  5. Step 5: Solve for x
    x = 191,299,514,884/333,136
  6. Step 6: Final answer
    x = 574,238.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.