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Finding the Third Proportional to 255,722 and 383,584

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Solution

The third proportional to 255,722 and 383,584 is: 575,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722 : 383,584 = 383,584 : x
  2. Step 2: Convert to fraction form
    255,722/383,584 = 383,584/x
  3. Step 3: Cross multiply
    255,722x = 383,584 × 383,584
  4. Step 4: Simplify right side
    255,722x = 147,136,685,056
  5. Step 5: Solve for x
    x = 147,136,685,056/255,722
  6. Step 6: Final answer
    x = 575,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.