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Finding the Third Proportional to 333,194 and 725,548

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Solution

The third proportional to 333,194 and 725,548 is: 1,579,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,194 : 725,548 = 725,548 : x
  2. Step 2: Convert to fraction form
    333,194/725,548 = 725,548/x
  3. Step 3: Cross multiply
    333,194x = 725,548 × 725,548
  4. Step 4: Simplify right side
    333,194x = 526,419,900,304
  5. Step 5: Solve for x
    x = 526,419,900,304/333,194
  6. Step 6: Final answer
    x = 1,579,920.11

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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.