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Finding the Third Proportional to 413,037 and 848,307

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Solution

The third proportional to 413,037 and 848,307 is: 1,742,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,037 : 848,307 = 848,307 : x
  2. Step 2: Convert to fraction form
    413,037/848,307 = 848,307/x
  3. Step 3: Cross multiply
    413,037x = 848,307 × 848,307
  4. Step 4: Simplify right side
    413,037x = 719,624,766,249
  5. Step 5: Solve for x
    x = 719,624,766,249/413,037
  6. Step 6: Final answer
    x = 1,742,276.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.