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Finding the Third Proportional to 400,960 and 529,996

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Solution

The third proportional to 400,960 and 529,996 is: 700,558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,960 : 529,996 = 529,996 : x
  2. Step 2: Convert to fraction form
    400,960/529,996 = 529,996/x
  3. Step 3: Cross multiply
    400,960x = 529,996 × 529,996
  4. Step 4: Simplify right side
    400,960x = 280,895,760,016
  5. Step 5: Solve for x
    x = 280,895,760,016/400,960
  6. Step 6: Final answer
    x = 700,558.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.