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Finding the Third Proportional to 526,342 and 768,190

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Solution

The third proportional to 526,342 and 768,190 is: 1,121,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,342 : 768,190 = 768,190 : x
  2. Step 2: Convert to fraction form
    526,342/768,190 = 768,190/x
  3. Step 3: Cross multiply
    526,342x = 768,190 × 768,190
  4. Step 4: Simplify right side
    526,342x = 590,115,876,100
  5. Step 5: Solve for x
    x = 590,115,876,100/526,342
  6. Step 6: Final answer
    x = 1,121,164.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.