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Finding the Third Proportional to 400,962 and 529,998

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Solution

The third proportional to 400,962 and 529,998 is: 700,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,962 : 529,998 = 529,998 : x
  2. Step 2: Convert to fraction form
    400,962/529,998 = 529,998/x
  3. Step 3: Cross multiply
    400,962x = 529,998 × 529,998
  4. Step 4: Simplify right side
    400,962x = 280,897,880,004
  5. Step 5: Solve for x
    x = 280,897,880,004/400,962
  6. Step 6: Final answer
    x = 700,559.85

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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.