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Finding the Third Proportional to 337,665 and 797,076

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Solution

The third proportional to 337,665 and 797,076 is: 1,881,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,665 : 797,076 = 797,076 : x
  2. Step 2: Convert to fraction form
    337,665/797,076 = 797,076/x
  3. Step 3: Cross multiply
    337,665x = 797,076 × 797,076
  4. Step 4: Simplify right side
    337,665x = 635,330,149,776
  5. Step 5: Solve for x
    x = 635,330,149,776/337,665
  6. Step 6: Final answer
    x = 1,881,539.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.