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Finding the Third Proportional to 272,679 and 570,413

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Solution

The third proportional to 272,679 and 570,413 is: 1,193,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,679 : 570,413 = 570,413 : x
  2. Step 2: Convert to fraction form
    272,679/570,413 = 570,413/x
  3. Step 3: Cross multiply
    272,679x = 570,413 × 570,413
  4. Step 4: Simplify right side
    272,679x = 325,370,990,569
  5. Step 5: Solve for x
    x = 325,370,990,569/272,679
  6. Step 6: Final answer
    x = 1,193,238.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.