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Finding the Third Proportional to 270,346 and 557,828

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Solution

The third proportional to 270,346 and 557,828 is: 1,151,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,346 : 557,828 = 557,828 : x
  2. Step 2: Convert to fraction form
    270,346/557,828 = 557,828/x
  3. Step 3: Cross multiply
    270,346x = 557,828 × 557,828
  4. Step 4: Simplify right side
    270,346x = 311,172,077,584
  5. Step 5: Solve for x
    x = 311,172,077,584/270,346
  6. Step 6: Final answer
    x = 1,151,014.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.