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Finding the Third Proportional to 229,627.41 and 486,592.31

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Solution

The third proportional to 229,627.41 and 486,592.31 is: 1,031,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,627.41 : 486,592.31 = 486,592.31 : x
  2. Step 2: Convert to fraction form
    229,627.41/486,592.31 = 486,592.31/x
  3. Step 3: Cross multiply
    229,627.41x = 486,592.31 × 486,592.31
  4. Step 4: Simplify right side
    229,627.41x = 236,772,078,584.10
  5. Step 5: Solve for x
    x = 236,772,078,584.10/229,627.41
  6. Step 6: Final answer
    x = 1,031,114.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.