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Finding the Third Proportional to 202,378 and 440,428

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Solution

The third proportional to 202,378 and 440,428 is: 958,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,378 : 440,428 = 440,428 : x
  2. Step 2: Convert to fraction form
    202,378/440,428 = 440,428/x
  3. Step 3: Cross multiply
    202,378x = 440,428 × 440,428
  4. Step 4: Simplify right side
    202,378x = 193,976,823,184
  5. Step 5: Solve for x
    x = 193,976,823,184/202,378
  6. Step 6: Final answer
    x = 958,487.70

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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.