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Finding the Third Proportional to 337,297.50 and 512,853

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Solution

The third proportional to 337,297.50 and 512,853 is: 779,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,297.50 : 512,853 = 512,853 : x
  2. Step 2: Convert to fraction form
    337,297.50/512,853 = 512,853/x
  3. Step 3: Cross multiply
    337,297.50x = 512,853 × 512,853
  4. Step 4: Simplify right side
    337,297.50x = 263,018,199,609
  5. Step 5: Solve for x
    x = 263,018,199,609/337,297.50
  6. Step 6: Final answer
    x = 779,781.05

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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.