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Finding the Third Proportional to 362,828 and 563,190

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Solution

The third proportional to 362,828 and 563,190 is: 874,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,828 : 563,190 = 563,190 : x
  2. Step 2: Convert to fraction form
    362,828/563,190 = 563,190/x
  3. Step 3: Cross multiply
    362,828x = 563,190 × 563,190
  4. Step 4: Simplify right side
    362,828x = 317,182,976,100
  5. Step 5: Solve for x
    x = 317,182,976,100/362,828
  6. Step 6: Final answer
    x = 874,196.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.