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Finding the Third Proportional to 333,449.16 and 701,744.13

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Solution

The third proportional to 333,449.16 and 701,744.13 is: 1,476,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,449.16 : 701,744.13 = 701,744.13 : x
  2. Step 2: Convert to fraction form
    333,449.16/701,744.13 = 701,744.13/x
  3. Step 3: Cross multiply
    333,449.16x = 701,744.13 × 701,744.13
  4. Step 4: Simplify right side
    333,449.16x = 492,444,827,936.77
  5. Step 5: Solve for x
    x = 492,444,827,936.77/333,449.16
  6. Step 6: Final answer
    x = 1,476,821.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.