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Finding the Third Proportional to 350,088 and 768,252

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Solution

The third proportional to 350,088 and 768,252 is: 1,685,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,088 : 768,252 = 768,252 : x
  2. Step 2: Convert to fraction form
    350,088/768,252 = 768,252/x
  3. Step 3: Cross multiply
    350,088x = 768,252 × 768,252
  4. Step 4: Simplify right side
    350,088x = 590,211,135,504
  5. Step 5: Solve for x
    x = 590,211,135,504/350,088
  6. Step 6: Final answer
    x = 1,685,893.65

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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.