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Finding the Third Proportional to 411,459 and 641,247

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Solution

The third proportional to 411,459 and 641,247 is: 999,364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,459 : 641,247 = 641,247 : x
  2. Step 2: Convert to fraction form
    411,459/641,247 = 641,247/x
  3. Step 3: Cross multiply
    411,459x = 641,247 × 641,247
  4. Step 4: Simplify right side
    411,459x = 411,197,715,009
  5. Step 5: Solve for x
    x = 411,197,715,009/411,459
  6. Step 6: Final answer
    x = 999,364.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.