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Finding the Third Proportional to 324,560 and 708,168

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Solution

The third proportional to 324,560 and 708,168 is: 1,545,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,560 : 708,168 = 708,168 : x
  2. Step 2: Convert to fraction form
    324,560/708,168 = 708,168/x
  3. Step 3: Cross multiply
    324,560x = 708,168 × 708,168
  4. Step 4: Simplify right side
    324,560x = 501,501,916,224
  5. Step 5: Solve for x
    x = 501,501,916,224/324,560
  6. Step 6: Final answer
    x = 1,545,174.75

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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.