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Finding the Third Proportional to 333,219 and 732,844

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Solution

The third proportional to 333,219 and 732,844 is: 1,611,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,219 : 732,844 = 732,844 : x
  2. Step 2: Convert to fraction form
    333,219/732,844 = 732,844/x
  3. Step 3: Cross multiply
    333,219x = 732,844 × 732,844
  4. Step 4: Simplify right side
    333,219x = 537,060,328,336
  5. Step 5: Solve for x
    x = 537,060,328,336/333,219
  6. Step 6: Final answer
    x = 1,611,733.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.