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Finding the Third Proportional to 350,124 and 768,024

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Solution

The third proportional to 350,124 and 768,024 is: 1,684,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,124 : 768,024 = 768,024 : x
  2. Step 2: Convert to fraction form
    350,124/768,024 = 768,024/x
  3. Step 3: Cross multiply
    350,124x = 768,024 × 768,024
  4. Step 4: Simplify right side
    350,124x = 589,860,864,576
  5. Step 5: Solve for x
    x = 589,860,864,576/350,124
  6. Step 6: Final answer
    x = 1,684,719.88

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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.