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Finding the Third Proportional to 531,074 and 797,187

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Solution

The third proportional to 531,074 and 797,187 is: 1,196,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,074 : 797,187 = 797,187 : x
  2. Step 2: Convert to fraction form
    531,074/797,187 = 797,187/x
  3. Step 3: Cross multiply
    531,074x = 797,187 × 797,187
  4. Step 4: Simplify right side
    531,074x = 635,507,112,969
  5. Step 5: Solve for x
    x = 635,507,112,969/531,074
  6. Step 6: Final answer
    x = 1,196,645.12

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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.