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Finding the Third Proportional to 227,197.13 and 477,897.75

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Solution

The third proportional to 227,197.13 and 477,897.75 is: 1,005,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,197.13 : 477,897.75 = 477,897.75 : x
  2. Step 2: Convert to fraction form
    227,197.13/477,897.75 = 477,897.75/x
  3. Step 3: Cross multiply
    227,197.13x = 477,897.75 × 477,897.75
  4. Step 4: Simplify right side
    227,197.13x = 228,386,259,455.06
  5. Step 5: Solve for x
    x = 228,386,259,455.06/227,197.13
  6. Step 6: Final answer
    x = 1,005,233.93

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.