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Finding the Third Proportional to 316,254 and 694,036

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Solution

The third proportional to 316,254 and 694,036 is: 1,523,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,254 : 694,036 = 694,036 : x
  2. Step 2: Convert to fraction form
    316,254/694,036 = 694,036/x
  3. Step 3: Cross multiply
    316,254x = 694,036 × 694,036
  4. Step 4: Simplify right side
    316,254x = 481,685,969,296
  5. Step 5: Solve for x
    x = 481,685,969,296/316,254
  6. Step 6: Final answer
    x = 1,523,098.42

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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.