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Finding the Third Proportional to 363,018 and 789,018

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Solution

The third proportional to 363,018 and 789,018 is: 1,714,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,018 : 789,018 = 789,018 : x
  2. Step 2: Convert to fraction form
    363,018/789,018 = 789,018/x
  3. Step 3: Cross multiply
    363,018x = 789,018 × 789,018
  4. Step 4: Simplify right side
    363,018x = 622,549,404,324
  5. Step 5: Solve for x
    x = 622,549,404,324/363,018
  6. Step 6: Final answer
    x = 1,714,927.10

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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.