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Finding the Third Proportional to 199,902 and 471,899

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Solution

The third proportional to 199,902 and 471,899 is: 1,113,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,902 : 471,899 = 471,899 : x
  2. Step 2: Convert to fraction form
    199,902/471,899 = 471,899/x
  3. Step 3: Cross multiply
    199,902x = 471,899 × 471,899
  4. Step 4: Simplify right side
    199,902x = 222,688,666,201
  5. Step 5: Solve for x
    x = 222,688,666,201/199,902
  6. Step 6: Final answer
    x = 1,113,989.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.