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Finding the Third Proportional to 329,615.16 and 699,698.25

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Solution

The third proportional to 329,615.16 and 699,698.25 is: 1,485,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,615.16 : 699,698.25 = 699,698.25 : x
  2. Step 2: Convert to fraction form
    329,615.16/699,698.25 = 699,698.25/x
  3. Step 3: Cross multiply
    329,615.16x = 699,698.25 × 699,698.25
  4. Step 4: Simplify right side
    329,615.16x = 489,577,641,053.06
  5. Step 5: Solve for x
    x = 489,577,641,053.06/329,615.16
  6. Step 6: Final answer
    x = 1,485,300.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.