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Finding the Third Proportional to 333,674 and 719,836

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Solution

The third proportional to 333,674 and 719,836 is: 1,552,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,674 : 719,836 = 719,836 : x
  2. Step 2: Convert to fraction form
    333,674/719,836 = 719,836/x
  3. Step 3: Cross multiply
    333,674x = 719,836 × 719,836
  4. Step 4: Simplify right side
    333,674x = 518,163,866,896
  5. Step 5: Solve for x
    x = 518,163,866,896/333,674
  6. Step 6: Final answer
    x = 1,552,904.53

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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.