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Finding the Third Proportional to 333,682 and 719,856

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Solution

The third proportional to 333,682 and 719,856 is: 1,552,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,682 : 719,856 = 719,856 : x
  2. Step 2: Convert to fraction form
    333,682/719,856 = 719,856/x
  3. Step 3: Cross multiply
    333,682x = 719,856 × 719,856
  4. Step 4: Simplify right side
    333,682x = 518,192,660,736
  5. Step 5: Solve for x
    x = 518,192,660,736/333,682
  6. Step 6: Final answer
    x = 1,552,953.59

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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.