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Finding the Third Proportional to 228,943 and 503,564

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Solution

The third proportional to 228,943 and 503,564 is: 1,107,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943 : 503,564 = 503,564 : x
  2. Step 2: Convert to fraction form
    228,943/503,564 = 503,564/x
  3. Step 3: Cross multiply
    228,943x = 503,564 × 503,564
  4. Step 4: Simplify right side
    228,943x = 253,576,702,096
  5. Step 5: Solve for x
    x = 253,576,702,096/228,943
  6. Step 6: Final answer
    x = 1,107,597.53

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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.