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Finding the Third Proportional to 324,468 and 693,772

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Solution

The third proportional to 324,468 and 693,772 is: 1,483,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,468 : 693,772 = 693,772 : x
  2. Step 2: Convert to fraction form
    324,468/693,772 = 693,772/x
  3. Step 3: Cross multiply
    324,468x = 693,772 × 693,772
  4. Step 4: Simplify right side
    324,468x = 481,319,587,984
  5. Step 5: Solve for x
    x = 481,319,587,984/324,468
  6. Step 6: Final answer
    x = 1,483,411.58

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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.