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Finding the Third Proportional to 367,099 and 778,262

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Solution

The third proportional to 367,099 and 778,262 is: 1,649,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099 : 778,262 = 778,262 : x
  2. Step 2: Convert to fraction form
    367,099/778,262 = 778,262/x
  3. Step 3: Cross multiply
    367,099x = 778,262 × 778,262
  4. Step 4: Simplify right side
    367,099x = 605,691,740,644
  5. Step 5: Solve for x
    x = 605,691,740,644/367,099
  6. Step 6: Final answer
    x = 1,649,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.