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Finding the Third Proportional to 392,066 and 850,514

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Solution

The third proportional to 392,066 and 850,514 is: 1,845,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,066 : 850,514 = 850,514 : x
  2. Step 2: Convert to fraction form
    392,066/850,514 = 850,514/x
  3. Step 3: Cross multiply
    392,066x = 850,514 × 850,514
  4. Step 4: Simplify right side
    392,066x = 723,374,064,196
  5. Step 5: Solve for x
    x = 723,374,064,196/392,066
  6. Step 6: Final answer
    x = 1,845,031.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.