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Finding the Third Proportional to 229,472 and 497,079

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Solution

The third proportional to 229,472 and 497,079 is: 1,076,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472 : 497,079 = 497,079 : x
  2. Step 2: Convert to fraction form
    229,472/497,079 = 497,079/x
  3. Step 3: Cross multiply
    229,472x = 497,079 × 497,079
  4. Step 4: Simplify right side
    229,472x = 247,087,532,241
  5. Step 5: Solve for x
    x = 247,087,532,241/229,472
  6. Step 6: Final answer
    x = 1,076,765.50

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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.