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Finding the Third Proportional to 379,018.50 and 829,251

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Solution

The third proportional to 379,018.50 and 829,251 is: 1,814,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,018.50 : 829,251 = 829,251 : x
  2. Step 2: Convert to fraction form
    379,018.50/829,251 = 829,251/x
  3. Step 3: Cross multiply
    379,018.50x = 829,251 × 829,251
  4. Step 4: Simplify right side
    379,018.50x = 687,657,221,001
  5. Step 5: Solve for x
    x = 687,657,221,001/379,018.50
  6. Step 6: Final answer
    x = 1,814,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.