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Finding the Third Proportional to 228,884.34 and 497,174.06

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Solution

The third proportional to 228,884.34 and 497,174.06 is: 1,079,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,884.34 : 497,174.06 = 497,174.06 : x
  2. Step 2: Convert to fraction form
    228,884.34/497,174.06 = 497,174.06/x
  3. Step 3: Cross multiply
    228,884.34x = 497,174.06 × 497,174.06
  4. Step 4: Simplify right side
    228,884.34x = 247,182,048,422.75
  5. Step 5: Solve for x
    x = 247,182,048,422.75/228,884.34
  6. Step 6: Final answer
    x = 1,079,943.02

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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.