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Finding the Third Proportional to 448,029 and 967,311

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Solution

The third proportional to 448,029 and 967,311 is: 2,088,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,029 : 967,311 = 967,311 : x
  2. Step 2: Convert to fraction form
    448,029/967,311 = 967,311/x
  3. Step 3: Cross multiply
    448,029x = 967,311 × 967,311
  4. Step 4: Simplify right side
    448,029x = 935,690,570,721
  5. Step 5: Solve for x
    x = 935,690,570,721/448,029
  6. Step 6: Final answer
    x = 2,088,459.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.