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Finding the Third Proportional to 324,986.63 and 724,656

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Solution

The third proportional to 324,986.63 and 724,656 is: 1,615,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,986.63 : 724,656 = 724,656 : x
  2. Step 2: Convert to fraction form
    324,986.63/724,656 = 724,656/x
  3. Step 3: Cross multiply
    324,986.63x = 724,656 × 724,656
  4. Step 4: Simplify right side
    324,986.63x = 525,126,318,336
  5. Step 5: Solve for x
    x = 525,126,318,336/324,986.63
  6. Step 6: Final answer
    x = 1,615,839.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.