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Finding the Third Proportional to 401,037 and 564,249

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Solution

The third proportional to 401,037 and 564,249 is: 793,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,037 : 564,249 = 564,249 : x
  2. Step 2: Convert to fraction form
    401,037/564,249 = 564,249/x
  3. Step 3: Cross multiply
    401,037x = 564,249 × 564,249
  4. Step 4: Simplify right side
    401,037x = 318,376,934,001
  5. Step 5: Solve for x
    x = 318,376,934,001/401,037
  6. Step 6: Final answer
    x = 793,884.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.