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Finding the Third Proportional to 333,201 and 731,247

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Solution

The third proportional to 333,201 and 731,247 is: 1,604,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,201 : 731,247 = 731,247 : x
  2. Step 2: Convert to fraction form
    333,201/731,247 = 731,247/x
  3. Step 3: Cross multiply
    333,201x = 731,247 × 731,247
  4. Step 4: Simplify right side
    333,201x = 534,722,175,009
  5. Step 5: Solve for x
    x = 534,722,175,009/333,201
  6. Step 6: Final answer
    x = 1,604,803.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.