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Finding the Third Proportional to 229,347 and 496,967

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Solution

The third proportional to 229,347 and 496,967 is: 1,076,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,347 : 496,967 = 496,967 : x
  2. Step 2: Convert to fraction form
    229,347/496,967 = 496,967/x
  3. Step 3: Cross multiply
    229,347x = 496,967 × 496,967
  4. Step 4: Simplify right side
    229,347x = 246,976,199,089
  5. Step 5: Solve for x
    x = 246,976,199,089/229,347
  6. Step 6: Final answer
    x = 1,076,866.93

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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.