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Finding the Third Proportional to 258,064 and 526,496

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Solution

The third proportional to 258,064 and 526,496 is: 1,074,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,064 : 526,496 = 526,496 : x
  2. Step 2: Convert to fraction form
    258,064/526,496 = 526,496/x
  3. Step 3: Cross multiply
    258,064x = 526,496 × 526,496
  4. Step 4: Simplify right side
    258,064x = 277,198,038,016
  5. Step 5: Solve for x
    x = 277,198,038,016/258,064
  6. Step 6: Final answer
    x = 1,074,144.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.