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Finding the Third Proportional to 228,948 and 503,572.50

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Solution

The third proportional to 228,948 and 503,572.50 is: 1,107,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,948 : 503,572.50 = 503,572.50 : x
  2. Step 2: Convert to fraction form
    228,948/503,572.50 = 503,572.50/x
  3. Step 3: Cross multiply
    228,948x = 503,572.50 × 503,572.50
  4. Step 4: Simplify right side
    228,948x = 253,585,262,756.25
  5. Step 5: Solve for x
    x = 253,585,262,756.25/228,948
  6. Step 6: Final answer
    x = 1,107,610.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.