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Finding the Third Proportional to 229,714 and 487,260

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Solution

The third proportional to 229,714 and 487,260 is: 1,033,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,714 : 487,260 = 487,260 : x
  2. Step 2: Convert to fraction form
    229,714/487,260 = 487,260/x
  3. Step 3: Cross multiply
    229,714x = 487,260 × 487,260
  4. Step 4: Simplify right side
    229,714x = 237,422,307,600
  5. Step 5: Solve for x
    x = 237,422,307,600/229,714
  6. Step 6: Final answer
    x = 1,033,556.11

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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.