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Finding the Third Proportional to 315,460 and 694,001

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Solution

The third proportional to 315,460 and 694,001 is: 1,526,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,460 : 694,001 = 694,001 : x
  2. Step 2: Convert to fraction form
    315,460/694,001 = 694,001/x
  3. Step 3: Cross multiply
    315,460x = 694,001 × 694,001
  4. Step 4: Simplify right side
    315,460x = 481,637,388,001
  5. Step 5: Solve for x
    x = 481,637,388,001/315,460
  6. Step 6: Final answer
    x = 1,526,778.00

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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.