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Finding the Third Proportional to 531,456 and 807,027

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Solution

The third proportional to 531,456 and 807,027 is: 1,225,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,456 : 807,027 = 807,027 : x
  2. Step 2: Convert to fraction form
    531,456/807,027 = 807,027/x
  3. Step 3: Cross multiply
    531,456x = 807,027 × 807,027
  4. Step 4: Simplify right side
    531,456x = 651,292,578,729
  5. Step 5: Solve for x
    x = 651,292,578,729/531,456
  6. Step 6: Final answer
    x = 1,225,487.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.