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Finding the Third Proportional to 531,906.75 and 798,406.88

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Solution

The third proportional to 531,906.75 and 798,406.88 is: 1,198,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,906.75 : 798,406.88 = 798,406.88 : x
  2. Step 2: Convert to fraction form
    531,906.75/798,406.88 = 798,406.88/x
  3. Step 3: Cross multiply
    531,906.75x = 798,406.88 × 798,406.88
  4. Step 4: Simplify right side
    531,906.75x = 637,453,538,047.27
  5. Step 5: Solve for x
    x = 637,453,538,047.27/531,906.75
  6. Step 6: Final answer
    x = 1,198,431.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.