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Finding the Third Proportional to 229,038 and 488,514

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Solution

The third proportional to 229,038 and 488,514 is: 1,041,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,038 : 488,514 = 488,514 : x
  2. Step 2: Convert to fraction form
    229,038/488,514 = 488,514/x
  3. Step 3: Cross multiply
    229,038x = 488,514 × 488,514
  4. Step 4: Simplify right side
    229,038x = 238,645,928,196
  5. Step 5: Solve for x
    x = 238,645,928,196/229,038
  6. Step 6: Final answer
    x = 1,041,949.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.