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Finding the Third Proportional to 373,862 and 565,253

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Solution

The third proportional to 373,862 and 565,253 is: 854,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,862 : 565,253 = 565,253 : x
  2. Step 2: Convert to fraction form
    373,862/565,253 = 565,253/x
  3. Step 3: Cross multiply
    373,862x = 565,253 × 565,253
  4. Step 4: Simplify right side
    373,862x = 319,510,954,009
  5. Step 5: Solve for x
    x = 319,510,954,009/373,862
  6. Step 6: Final answer
    x = 854,622.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.