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Finding the Third Proportional to 348,847 and 473,436

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Solution

The third proportional to 348,847 and 473,436 is: 642,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,847 : 473,436 = 473,436 : x
  2. Step 2: Convert to fraction form
    348,847/473,436 = 473,436/x
  3. Step 3: Cross multiply
    348,847x = 473,436 × 473,436
  4. Step 4: Simplify right side
    348,847x = 224,141,646,096
  5. Step 5: Solve for x
    x = 224,141,646,096/348,847
  6. Step 6: Final answer
    x = 642,521.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.