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Finding the Third Proportional to 350,744 and 767,088

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Solution

The third proportional to 350,744 and 767,088 is: 1,677,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,744 : 767,088 = 767,088 : x
  2. Step 2: Convert to fraction form
    350,744/767,088 = 767,088/x
  3. Step 3: Cross multiply
    350,744x = 767,088 × 767,088
  4. Step 4: Simplify right side
    350,744x = 588,423,999,744
  5. Step 5: Solve for x
    x = 588,423,999,744/350,744
  6. Step 6: Final answer
    x = 1,677,645.23

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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.