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Finding the Third Proportional to 401,025 and 564,234

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Solution

The third proportional to 401,025 and 564,234 is: 793,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,025 : 564,234 = 564,234 : x
  2. Step 2: Convert to fraction form
    401,025/564,234 = 564,234/x
  3. Step 3: Cross multiply
    401,025x = 564,234 × 564,234
  4. Step 4: Simplify right side
    401,025x = 318,360,006,756
  5. Step 5: Solve for x
    x = 318,360,006,756/401,025
  6. Step 6: Final answer
    x = 793,865.74

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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.