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Finding the Third Proportional to 373,877 and 565,275

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Solution

The third proportional to 373,877 and 565,275 is: 854,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,877 : 565,275 = 565,275 : x
  2. Step 2: Convert to fraction form
    373,877/565,275 = 565,275/x
  3. Step 3: Cross multiply
    373,877x = 565,275 × 565,275
  4. Step 4: Simplify right side
    373,877x = 319,535,825,625
  5. Step 5: Solve for x
    x = 319,535,825,625/373,877
  6. Step 6: Final answer
    x = 854,654.94

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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.