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Finding the Third Proportional to 231,850 and 507,980

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Solution

The third proportional to 231,850 and 507,980 is: 1,112,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,850 : 507,980 = 507,980 : x
  2. Step 2: Convert to fraction form
    231,850/507,980 = 507,980/x
  3. Step 3: Cross multiply
    231,850x = 507,980 × 507,980
  4. Step 4: Simplify right side
    231,850x = 258,043,680,400
  5. Step 5: Solve for x
    x = 258,043,680,400/231,850
  6. Step 6: Final answer
    x = 1,112,976.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.