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Finding the Third Proportional to 337,851 and 455,063

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Solution

The third proportional to 337,851 and 455,063 is: 612,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,851 : 455,063 = 455,063 : x
  2. Step 2: Convert to fraction form
    337,851/455,063 = 455,063/x
  3. Step 3: Cross multiply
    337,851x = 455,063 × 455,063
  4. Step 4: Simplify right side
    337,851x = 207,082,333,969
  5. Step 5: Solve for x
    x = 207,082,333,969/337,851
  6. Step 6: Final answer
    x = 612,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.