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Finding the Third Proportional to 415,937.25 and 851,587.50

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Solution

The third proportional to 415,937.25 and 851,587.50 is: 1,743,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,937.25 : 851,587.50 = 851,587.50 : x
  2. Step 2: Convert to fraction form
    415,937.25/851,587.50 = 851,587.50/x
  3. Step 3: Cross multiply
    415,937.25x = 851,587.50 × 851,587.50
  4. Step 4: Simplify right side
    415,937.25x = 725,201,270,156.25
  5. Step 5: Solve for x
    x = 725,201,270,156.25/415,937.25
  6. Step 6: Final answer
    x = 1,743,535.28

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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.