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Finding the Third Proportional to 531,058.50 and 800,997

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Solution

The third proportional to 531,058.50 and 800,997 is: 1,208,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,058.50 : 800,997 = 800,997 : x
  2. Step 2: Convert to fraction form
    531,058.50/800,997 = 800,997/x
  3. Step 3: Cross multiply
    531,058.50x = 800,997 × 800,997
  4. Step 4: Simplify right side
    531,058.50x = 641,596,194,009
  5. Step 5: Solve for x
    x = 641,596,194,009/531,058.50
  6. Step 6: Final answer
    x = 1,208,145.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.