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Finding the Third Proportional to 280,665 and 431,376.75

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Solution

The third proportional to 280,665 and 431,376.75 is: 663,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,665 : 431,376.75 = 431,376.75 : x
  2. Step 2: Convert to fraction form
    280,665/431,376.75 = 431,376.75/x
  3. Step 3: Cross multiply
    280,665x = 431,376.75 × 431,376.75
  4. Step 4: Simplify right side
    280,665x = 186,085,900,440.56
  5. Step 5: Solve for x
    x = 186,085,900,440.56/280,665
  6. Step 6: Final answer
    x = 663,017.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.