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Finding the Third Proportional to 355,802 and 541,035

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Solution

The third proportional to 355,802 and 541,035 is: 822,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,802 : 541,035 = 541,035 : x
  2. Step 2: Convert to fraction form
    355,802/541,035 = 541,035/x
  3. Step 3: Cross multiply
    355,802x = 541,035 × 541,035
  4. Step 4: Simplify right side
    355,802x = 292,718,871,225
  5. Step 5: Solve for x
    x = 292,718,871,225/355,802
  6. Step 6: Final answer
    x = 822,701.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.