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Finding the Third Proportional to 443,542 and 950,588

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Solution

The third proportional to 443,542 and 950,588 is: 2,037,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,542 : 950,588 = 950,588 : x
  2. Step 2: Convert to fraction form
    443,542/950,588 = 950,588/x
  3. Step 3: Cross multiply
    443,542x = 950,588 × 950,588
  4. Step 4: Simplify right side
    443,542x = 903,617,545,744
  5. Step 5: Solve for x
    x = 903,617,545,744/443,542
  6. Step 6: Final answer
    x = 2,037,276.17

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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.