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Finding the Third Proportional to 209,160 and 496,980

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Solution

The third proportional to 209,160 and 496,980 is: 1,180,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,160 : 496,980 = 496,980 : x
  2. Step 2: Convert to fraction form
    209,160/496,980 = 496,980/x
  3. Step 3: Cross multiply
    209,160x = 496,980 × 496,980
  4. Step 4: Simplify right side
    209,160x = 246,989,120,400
  5. Step 5: Solve for x
    x = 246,989,120,400/209,160
  6. Step 6: Final answer
    x = 1,180,862.12

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.