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Finding the Third Proportional to 299,752 and 642,024

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Solution

The third proportional to 299,752 and 642,024 is: 1,375,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,752 : 642,024 = 642,024 : x
  2. Step 2: Convert to fraction form
    299,752/642,024 = 642,024/x
  3. Step 3: Cross multiply
    299,752x = 642,024 × 642,024
  4. Step 4: Simplify right side
    299,752x = 412,194,816,576
  5. Step 5: Solve for x
    x = 412,194,816,576/299,752
  6. Step 6: Final answer
    x = 1,375,119.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.