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Finding the Third Proportional to 202,942 and 440,465

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Solution

The third proportional to 202,942 and 440,465 is: 955,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942 : 440,465 = 440,465 : x
  2. Step 2: Convert to fraction form
    202,942/440,465 = 440,465/x
  3. Step 3: Cross multiply
    202,942x = 440,465 × 440,465
  4. Step 4: Simplify right side
    202,942x = 194,009,416,225
  5. Step 5: Solve for x
    x = 194,009,416,225/202,942
  6. Step 6: Final answer
    x = 955,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.