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Finding the Third Proportional to 531,997.50 and 1,167,351

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Solution

The third proportional to 531,997.50 and 1,167,351 is: 2,561,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,997.50 : 1,167,351 = 1,167,351 : x
  2. Step 2: Convert to fraction form
    531,997.50/1,167,351 = 1,167,351/x
  3. Step 3: Cross multiply
    531,997.50x = 1,167,351 × 1,167,351
  4. Step 4: Simplify right side
    531,997.50x = 1,362,708,357,201
  5. Step 5: Solve for x
    x = 1,362,708,357,201/531,997.50
  6. Step 6: Final answer
    x = 2,561,493.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.