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Finding the Third Proportional to 231,372 and 503,784

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Solution

The third proportional to 231,372 and 503,784 is: 1,096,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,372 : 503,784 = 503,784 : x
  2. Step 2: Convert to fraction form
    231,372/503,784 = 503,784/x
  3. Step 3: Cross multiply
    231,372x = 503,784 × 503,784
  4. Step 4: Simplify right side
    231,372x = 253,798,318,656
  5. Step 5: Solve for x
    x = 253,798,318,656/231,372
  6. Step 6: Final answer
    x = 1,096,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.