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Finding the Third Proportional to 348,710 and 538,836

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Solution

The third proportional to 348,710 and 538,836 is: 832,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,710 : 538,836 = 538,836 : x
  2. Step 2: Convert to fraction form
    348,710/538,836 = 538,836/x
  3. Step 3: Cross multiply
    348,710x = 538,836 × 538,836
  4. Step 4: Simplify right side
    348,710x = 290,344,234,896
  5. Step 5: Solve for x
    x = 290,344,234,896/348,710
  6. Step 6: Final answer
    x = 832,623.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.