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Finding the Third Proportional to 317,975.25 and 431,787.75

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Solution

The third proportional to 317,975.25 and 431,787.75 is: 586,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,975.25 : 431,787.75 = 431,787.75 : x
  2. Step 2: Convert to fraction form
    317,975.25/431,787.75 = 431,787.75/x
  3. Step 3: Cross multiply
    317,975.25x = 431,787.75 × 431,787.75
  4. Step 4: Simplify right side
    317,975.25x = 186,440,661,050.06
  5. Step 5: Solve for x
    x = 186,440,661,050.06/317,975.25
  6. Step 6: Final answer
    x = 586,337.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.