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Finding the Third Proportional to 491,256 and 758,584

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Solution

The third proportional to 491,256 and 758,584 is: 1,171,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,256 : 758,584 = 758,584 : x
  2. Step 2: Convert to fraction form
    491,256/758,584 = 758,584/x
  3. Step 3: Cross multiply
    491,256x = 758,584 × 758,584
  4. Step 4: Simplify right side
    491,256x = 575,449,685,056
  5. Step 5: Solve for x
    x = 575,449,685,056/491,256
  6. Step 6: Final answer
    x = 1,171,384.54

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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.