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Finding the Third Proportional to 202,368 and 439,727

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Solution

The third proportional to 202,368 and 439,727 is: 955,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,368 : 439,727 = 439,727 : x
  2. Step 2: Convert to fraction form
    202,368/439,727 = 439,727/x
  3. Step 3: Cross multiply
    202,368x = 439,727 × 439,727
  4. Step 4: Simplify right side
    202,368x = 193,359,834,529
  5. Step 5: Solve for x
    x = 193,359,834,529/202,368
  6. Step 6: Final answer
    x = 955,486.22

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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.