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Finding the Third Proportional to 229,540 and 497,196

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Solution

The third proportional to 229,540 and 497,196 is: 1,076,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,540 : 497,196 = 497,196 : x
  2. Step 2: Convert to fraction form
    229,540/497,196 = 497,196/x
  3. Step 3: Cross multiply
    229,540x = 497,196 × 497,196
  4. Step 4: Simplify right side
    229,540x = 247,203,862,416
  5. Step 5: Solve for x
    x = 247,203,862,416/229,540
  6. Step 6: Final answer
    x = 1,076,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.