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Finding the Third Proportional to 381,312 and 829,035

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Solution

The third proportional to 381,312 and 829,035 is: 1,802,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312 : 829,035 = 829,035 : x
  2. Step 2: Convert to fraction form
    381,312/829,035 = 829,035/x
  3. Step 3: Cross multiply
    381,312x = 829,035 × 829,035
  4. Step 4: Simplify right side
    381,312x = 687,299,031,225
  5. Step 5: Solve for x
    x = 687,299,031,225/381,312
  6. Step 6: Final answer
    x = 1,802,458.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.