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Finding the Third Proportional to 366,839 and 546,871

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Solution

The third proportional to 366,839 and 546,871 is: 815,256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,839 : 546,871 = 546,871 : x
  2. Step 2: Convert to fraction form
    366,839/546,871 = 546,871/x
  3. Step 3: Cross multiply
    366,839x = 546,871 × 546,871
  4. Step 4: Simplify right side
    366,839x = 299,067,890,641
  5. Step 5: Solve for x
    x = 299,067,890,641/366,839
  6. Step 6: Final answer
    x = 815,256.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.