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Finding the Third Proportional to 275,972.06 and 429,062.06

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Solution

The third proportional to 275,972.06 and 429,062.06 is: 667,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,972.06 : 429,062.06 = 429,062.06 : x
  2. Step 2: Convert to fraction form
    275,972.06/429,062.06 = 429,062.06/x
  3. Step 3: Cross multiply
    275,972.06x = 429,062.06 × 429,062.06
  4. Step 4: Simplify right side
    275,972.06x = 184,094,253,476.75
  5. Step 5: Solve for x
    x = 184,094,253,476.75/275,972.06
  6. Step 6: Final answer
    x = 667,075.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.