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Finding the Third Proportional to 350,359 and 766,144

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Solution

The third proportional to 350,359 and 766,144 is: 1,675,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,359 : 766,144 = 766,144 : x
  2. Step 2: Convert to fraction form
    350,359/766,144 = 766,144/x
  3. Step 3: Cross multiply
    350,359x = 766,144 × 766,144
  4. Step 4: Simplify right side
    350,359x = 586,976,628,736
  5. Step 5: Solve for x
    x = 586,976,628,736/350,359
  6. Step 6: Final answer
    x = 1,675,357.64

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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.