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Finding the Third Proportional to 229,488 and 497,100

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Solution

The third proportional to 229,488 and 497,100 is: 1,076,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,488 : 497,100 = 497,100 : x
  2. Step 2: Convert to fraction form
    229,488/497,100 = 497,100/x
  3. Step 3: Cross multiply
    229,488x = 497,100 × 497,100
  4. Step 4: Simplify right side
    229,488x = 247,108,410,000
  5. Step 5: Solve for x
    x = 247,108,410,000/229,488
  6. Step 6: Final answer
    x = 1,076,781.40

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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.