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Finding the Third Proportional to 262,914.75 and 429,270.75

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Solution

The third proportional to 262,914.75 and 429,270.75 is: 700,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,914.75 : 429,270.75 = 429,270.75 : x
  2. Step 2: Convert to fraction form
    262,914.75/429,270.75 = 429,270.75/x
  3. Step 3: Cross multiply
    262,914.75x = 429,270.75 × 429,270.75
  4. Step 4: Simplify right side
    262,914.75x = 184,273,376,805.56
  5. Step 5: Solve for x
    x = 184,273,376,805.56/262,914.75
  6. Step 6: Final answer
    x = 700,886.42

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.