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Finding the Third Proportional to 324,796 and 708,614

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Solution

The third proportional to 324,796 and 708,614 is: 1,545,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,796 : 708,614 = 708,614 : x
  2. Step 2: Convert to fraction form
    324,796/708,614 = 708,614/x
  3. Step 3: Cross multiply
    324,796x = 708,614 × 708,614
  4. Step 4: Simplify right side
    324,796x = 502,133,800,996
  5. Step 5: Solve for x
    x = 502,133,800,996/324,796
  6. Step 6: Final answer
    x = 1,545,997.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.