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Finding the Third Proportional to 415,937.50 and 851,588

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Solution

The third proportional to 415,937.50 and 851,588 is: 1,743,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,937.50 : 851,588 = 851,588 : x
  2. Step 2: Convert to fraction form
    415,937.50/851,588 = 851,588/x
  3. Step 3: Cross multiply
    415,937.50x = 851,588 × 851,588
  4. Step 4: Simplify right side
    415,937.50x = 725,202,121,744
  5. Step 5: Solve for x
    x = 725,202,121,744/415,937.50
  6. Step 6: Final answer
    x = 1,743,536.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.