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Finding the Third Proportional to 228,820.50 and 497,008.50

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Solution

The third proportional to 228,820.50 and 497,008.50 is: 1,079,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,820.50 : 497,008.50 = 497,008.50 : x
  2. Step 2: Convert to fraction form
    228,820.50/497,008.50 = 497,008.50/x
  3. Step 3: Cross multiply
    228,820.50x = 497,008.50 × 497,008.50
  4. Step 4: Simplify right side
    228,820.50x = 247,017,449,072.25
  5. Step 5: Solve for x
    x = 247,017,449,072.25/228,820.50
  6. Step 6: Final answer
    x = 1,079,524.99

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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.