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Finding the Third Proportional to 531,718 and 797,965

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Solution

The third proportional to 531,718 and 797,965 is: 1,197,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,718 : 797,965 = 797,965 : x
  2. Step 2: Convert to fraction form
    531,718/797,965 = 797,965/x
  3. Step 3: Cross multiply
    531,718x = 797,965 × 797,965
  4. Step 4: Simplify right side
    531,718x = 636,748,141,225
  5. Step 5: Solve for x
    x = 636,748,141,225/531,718
  6. Step 6: Final answer
    x = 1,197,529.78

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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.