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Finding the Third Proportional to 325,612 and 697,944

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Solution

The third proportional to 325,612 and 697,944 is: 1,496,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,612 : 697,944 = 697,944 : x
  2. Step 2: Convert to fraction form
    325,612/697,944 = 697,944/x
  3. Step 3: Cross multiply
    325,612x = 697,944 × 697,944
  4. Step 4: Simplify right side
    325,612x = 487,125,827,136
  5. Step 5: Solve for x
    x = 487,125,827,136/325,612
  6. Step 6: Final answer
    x = 1,496,031.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.