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Finding the Third Proportional to 386,227 and 565,514

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Solution

The third proportional to 386,227 and 565,514 is: 828,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,227 : 565,514 = 565,514 : x
  2. Step 2: Convert to fraction form
    386,227/565,514 = 565,514/x
  3. Step 3: Cross multiply
    386,227x = 565,514 × 565,514
  4. Step 4: Simplify right side
    386,227x = 319,806,084,196
  5. Step 5: Solve for x
    x = 319,806,084,196/386,227
  6. Step 6: Final answer
    x = 828,026.22

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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.