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Finding the Third Proportional to 333,208 and 719,636

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Solution

The third proportional to 333,208 and 719,636 is: 1,554,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,208 : 719,636 = 719,636 : x
  2. Step 2: Convert to fraction form
    333,208/719,636 = 719,636/x
  3. Step 3: Cross multiply
    333,208x = 719,636 × 719,636
  4. Step 4: Simplify right side
    333,208x = 517,875,972,496
  5. Step 5: Solve for x
    x = 517,875,972,496/333,208
  6. Step 6: Final answer
    x = 1,554,212.30

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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.