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Finding the Third Proportional to 229,429.97 and 496,995.75

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Solution

The third proportional to 229,429.97 and 496,995.75 is: 1,076,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,429.97 : 496,995.75 = 496,995.75 : x
  2. Step 2: Convert to fraction form
    229,429.97/496,995.75 = 496,995.75/x
  3. Step 3: Cross multiply
    229,429.97x = 496,995.75 × 496,995.75
  4. Step 4: Simplify right side
    229,429.97x = 247,004,775,518.06
  5. Step 5: Solve for x
    x = 247,004,775,518.06/229,429.97
  6. Step 6: Final answer
    x = 1,076,602.05

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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.