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Finding the Third Proportional to 348,351 and 538,383

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Solution

The third proportional to 348,351 and 538,383 is: 832,081.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,351 : 538,383 = 538,383 : x
  2. Step 2: Convert to fraction form
    348,351/538,383 = 538,383/x
  3. Step 3: Cross multiply
    348,351x = 538,383 × 538,383
  4. Step 4: Simplify right side
    348,351x = 289,856,254,689
  5. Step 5: Solve for x
    x = 289,856,254,689/348,351
  6. Step 6: Final answer
    x = 832,081.02

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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.