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Finding the Third Proportional to 333,343 and 718,809

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Solution

The third proportional to 333,343 and 718,809 is: 1,550,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,343 : 718,809 = 718,809 : x
  2. Step 2: Convert to fraction form
    333,343/718,809 = 718,809/x
  3. Step 3: Cross multiply
    333,343x = 718,809 × 718,809
  4. Step 4: Simplify right side
    333,343x = 516,686,378,481
  5. Step 5: Solve for x
    x = 516,686,378,481/333,343
  6. Step 6: Final answer
    x = 1,550,014.19

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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.