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Finding the Third Proportional to 280,584 and 383,337

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Solution

The third proportional to 280,584 and 383,337 is: 523,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584 : 383,337 = 383,337 : x
  2. Step 2: Convert to fraction form
    280,584/383,337 = 383,337/x
  3. Step 3: Cross multiply
    280,584x = 383,337 × 383,337
  4. Step 4: Simplify right side
    280,584x = 146,947,255,569
  5. Step 5: Solve for x
    x = 146,947,255,569/280,584
  6. Step 6: Final answer
    x = 523,719.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.