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Finding the Third Proportional to 337,311 and 512,873

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Solution

The third proportional to 337,311 and 512,873 is: 779,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,311 : 512,873 = 512,873 : x
  2. Step 2: Convert to fraction form
    337,311/512,873 = 512,873/x
  3. Step 3: Cross multiply
    337,311x = 512,873 × 512,873
  4. Step 4: Simplify right side
    337,311x = 263,038,714,129
  5. Step 5: Solve for x
    x = 263,038,714,129/337,311
  6. Step 6: Final answer
    x = 779,810.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.