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Finding the Third Proportional to 350,089 and 768,254

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Solution

The third proportional to 350,089 and 768,254 is: 1,685,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,089 : 768,254 = 768,254 : x
  2. Step 2: Convert to fraction form
    350,089/768,254 = 768,254/x
  3. Step 3: Cross multiply
    350,089x = 768,254 × 768,254
  4. Step 4: Simplify right side
    350,089x = 590,214,208,516
  5. Step 5: Solve for x
    x = 590,214,208,516/350,089
  6. Step 6: Final answer
    x = 1,685,897.61

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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.