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Finding the Third Proportional to 263,222 and 385,007

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Solution

The third proportional to 263,222 and 385,007 is: 563,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,222 : 385,007 = 385,007 : x
  2. Step 2: Convert to fraction form
    263,222/385,007 = 385,007/x
  3. Step 3: Cross multiply
    263,222x = 385,007 × 385,007
  4. Step 4: Simplify right side
    263,222x = 148,230,390,049
  5. Step 5: Solve for x
    x = 148,230,390,049/263,222
  6. Step 6: Final answer
    x = 563,138.30

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.