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Finding the Third Proportional to 230,630 and 501,649

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Solution

The third proportional to 230,630 and 501,649 is: 1,091,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,630 : 501,649 = 501,649 : x
  2. Step 2: Convert to fraction form
    230,630/501,649 = 501,649/x
  3. Step 3: Cross multiply
    230,630x = 501,649 × 501,649
  4. Step 4: Simplify right side
    230,630x = 251,651,719,201
  5. Step 5: Solve for x
    x = 251,651,719,201/230,630
  6. Step 6: Final answer
    x = 1,091,149.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.