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Finding the Third Proportional to 303,752 and 703,206

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Solution

The third proportional to 303,752 and 703,206 is: 1,627,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,752 : 703,206 = 703,206 : x
  2. Step 2: Convert to fraction form
    303,752/703,206 = 703,206/x
  3. Step 3: Cross multiply
    303,752x = 703,206 × 703,206
  4. Step 4: Simplify right side
    303,752x = 494,498,678,436
  5. Step 5: Solve for x
    x = 494,498,678,436/303,752
  6. Step 6: Final answer
    x = 1,627,968.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.