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Finding the Third Proportional to 336,269.25 and 725,659.88

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Solution

The third proportional to 336,269.25 and 725,659.88 is: 1,565,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,269.25 : 725,659.88 = 725,659.88 : x
  2. Step 2: Convert to fraction form
    336,269.25/725,659.88 = 725,659.88/x
  3. Step 3: Cross multiply
    336,269.25x = 725,659.88 × 725,659.88
  4. Step 4: Simplify right side
    336,269.25x = 526,582,254,185.02
  5. Step 5: Solve for x
    x = 526,582,254,185.02/336,269.25
  6. Step 6: Final answer
    x = 1,565,954.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.