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Finding the Third Proportional to 400,512 and 812,076

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Solution

The third proportional to 400,512 and 812,076 is: 1,646,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,512 : 812,076 = 812,076 : x
  2. Step 2: Convert to fraction form
    400,512/812,076 = 812,076/x
  3. Step 3: Cross multiply
    400,512x = 812,076 × 812,076
  4. Step 4: Simplify right side
    400,512x = 659,467,429,776
  5. Step 5: Solve for x
    x = 659,467,429,776/400,512
  6. Step 6: Final answer
    x = 1,646,560.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.