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Finding the Third Proportional to 329,334.75 and 708,601.50

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Solution

The third proportional to 329,334.75 and 708,601.50 is: 1,524,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,334.75 : 708,601.50 = 708,601.50 : x
  2. Step 2: Convert to fraction form
    329,334.75/708,601.50 = 708,601.50/x
  3. Step 3: Cross multiply
    329,334.75x = 708,601.50 × 708,601.50
  4. Step 4: Simplify right side
    329,334.75x = 502,116,085,802.25
  5. Step 5: Solve for x
    x = 502,116,085,802.25/329,334.75
  6. Step 6: Final answer
    x = 1,524,637.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.