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Finding the Third Proportional to 202,328 and 437,459

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Solution

The third proportional to 202,328 and 437,459 is: 945,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328 : 437,459 = 437,459 : x
  2. Step 2: Convert to fraction form
    202,328/437,459 = 437,459/x
  3. Step 3: Cross multiply
    202,328x = 437,459 × 437,459
  4. Step 4: Simplify right side
    202,328x = 191,370,376,681
  5. Step 5: Solve for x
    x = 191,370,376,681/202,328
  6. Step 6: Final answer
    x = 945,842.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.