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Finding the Third Proportional to 316,242 and 694,692

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Solution

The third proportional to 316,242 and 694,692 is: 1,526,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,242 : 694,692 = 694,692 : x
  2. Step 2: Convert to fraction form
    316,242/694,692 = 694,692/x
  3. Step 3: Cross multiply
    316,242x = 694,692 × 694,692
  4. Step 4: Simplify right side
    316,242x = 482,596,974,864
  5. Step 5: Solve for x
    x = 482,596,974,864/316,242
  6. Step 6: Final answer
    x = 1,526,036.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.