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Finding the Third Proportional to 443,536 and 950,576

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Solution

The third proportional to 443,536 and 950,576 is: 2,037,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,536 : 950,576 = 950,576 : x
  2. Step 2: Convert to fraction form
    443,536/950,576 = 950,576/x
  3. Step 3: Cross multiply
    443,536x = 950,576 × 950,576
  4. Step 4: Simplify right side
    443,536x = 903,594,731,776
  5. Step 5: Solve for x
    x = 903,594,731,776/443,536
  6. Step 6: Final answer
    x = 2,037,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.