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Finding the Third Proportional to 202,365 and 440,429

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Solution

The third proportional to 202,365 and 440,429 is: 958,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365 : 440,429 = 440,429 : x
  2. Step 2: Convert to fraction form
    202,365/440,429 = 440,429/x
  3. Step 3: Cross multiply
    202,365x = 440,429 × 440,429
  4. Step 4: Simplify right side
    202,365x = 193,977,704,041
  5. Step 5: Solve for x
    x = 193,977,704,041/202,365
  6. Step 6: Final answer
    x = 958,553.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.