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Finding the Third Proportional to 222,370 and 514,357

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Solution

The third proportional to 222,370 and 514,357 is: 1,189,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,370 : 514,357 = 514,357 : x
  2. Step 2: Convert to fraction form
    222,370/514,357 = 514,357/x
  3. Step 3: Cross multiply
    222,370x = 514,357 × 514,357
  4. Step 4: Simplify right side
    222,370x = 264,563,123,449
  5. Step 5: Solve for x
    x = 264,563,123,449/222,370
  6. Step 6: Final answer
    x = 1,189,742.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.