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Finding the Third Proportional to 229,493.25 and 497,117.25

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Solution

The third proportional to 229,493.25 and 497,117.25 is: 1,076,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,493.25 : 497,117.25 = 497,117.25 : x
  2. Step 2: Convert to fraction form
    229,493.25/497,117.25 = 497,117.25/x
  3. Step 3: Cross multiply
    229,493.25x = 497,117.25 × 497,117.25
  4. Step 4: Simplify right side
    229,493.25x = 247,125,560,247.56
  5. Step 5: Solve for x
    x = 247,125,560,247.56/229,493.25
  6. Step 6: Final answer
    x = 1,076,831.50

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