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Finding the Third Proportional to 350,593 and 767,524

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Solution

The third proportional to 350,593 and 767,524 is: 1,680,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,593 : 767,524 = 767,524 : x
  2. Step 2: Convert to fraction form
    350,593/767,524 = 767,524/x
  3. Step 3: Cross multiply
    350,593x = 767,524 × 767,524
  4. Step 4: Simplify right side
    350,593x = 589,093,090,576
  5. Step 5: Solve for x
    x = 589,093,090,576/350,593
  6. Step 6: Final answer
    x = 1,680,276.25

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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.