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Finding the Third Proportional to 386,259 and 565,562

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Solution

The third proportional to 386,259 and 565,562 is: 828,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,259 : 565,562 = 565,562 : x
  2. Step 2: Convert to fraction form
    386,259/565,562 = 565,562/x
  3. Step 3: Cross multiply
    386,259x = 565,562 × 565,562
  4. Step 4: Simplify right side
    386,259x = 319,860,375,844
  5. Step 5: Solve for x
    x = 319,860,375,844/386,259
  6. Step 6: Final answer
    x = 828,098.18

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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.