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Finding the Third Proportional to 333,033.19 and 731,100.09

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Solution

The third proportional to 333,033.19 and 731,100.09 is: 1,604,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,033.19 : 731,100.09 = 731,100.09 : x
  2. Step 2: Convert to fraction form
    333,033.19/731,100.09 = 731,100.09/x
  3. Step 3: Cross multiply
    333,033.19x = 731,100.09 × 731,100.09
  4. Step 4: Simplify right side
    333,033.19x = 534,507,347,081.26
  5. Step 5: Solve for x
    x = 534,507,347,081.26/333,033.19
  6. Step 6: Final answer
    x = 1,604,967.21

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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.