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Finding the Third Proportional to 512,446 and 748,916

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Solution

The third proportional to 512,446 and 748,916 is: 1,094,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,446 : 748,916 = 748,916 : x
  2. Step 2: Convert to fraction form
    512,446/748,916 = 748,916/x
  3. Step 3: Cross multiply
    512,446x = 748,916 × 748,916
  4. Step 4: Simplify right side
    512,446x = 560,875,175,056
  5. Step 5: Solve for x
    x = 560,875,175,056/512,446
  6. Step 6: Final answer
    x = 1,094,505.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.