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Finding the Third Proportional to 252,828 and 583,830

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Solution

The third proportional to 252,828 and 583,830 is: 1,348,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,828 : 583,830 = 583,830 : x
  2. Step 2: Convert to fraction form
    252,828/583,830 = 583,830/x
  3. Step 3: Cross multiply
    252,828x = 583,830 × 583,830
  4. Step 4: Simplify right side
    252,828x = 340,857,468,900
  5. Step 5: Solve for x
    x = 340,857,468,900/252,828
  6. Step 6: Final answer
    x = 1,348,179.27

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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.