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Finding the Third Proportional to 502,272 and 703,936

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Solution

The third proportional to 502,272 and 703,936 is: 986,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,272 : 703,936 = 703,936 : x
  2. Step 2: Convert to fraction form
    502,272/703,936 = 703,936/x
  3. Step 3: Cross multiply
    502,272x = 703,936 × 703,936
  4. Step 4: Simplify right side
    502,272x = 495,525,892,096
  5. Step 5: Solve for x
    x = 495,525,892,096/502,272
  6. Step 6: Final answer
    x = 986,568.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.