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Finding the Third Proportional to 364,539 and 546,801

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Solution

The third proportional to 364,539 and 546,801 is: 820,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,539 : 546,801 = 546,801 : x
  2. Step 2: Convert to fraction form
    364,539/546,801 = 546,801/x
  3. Step 3: Cross multiply
    364,539x = 546,801 × 546,801
  4. Step 4: Simplify right side
    364,539x = 298,991,333,601
  5. Step 5: Solve for x
    x = 298,991,333,601/364,539
  6. Step 6: Final answer
    x = 820,190.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.