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Finding the Third Proportional to 379,803 and 587,901

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Solution

The third proportional to 379,803 and 587,901 is: 910,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,803 : 587,901 = 587,901 : x
  2. Step 2: Convert to fraction form
    379,803/587,901 = 587,901/x
  3. Step 3: Cross multiply
    379,803x = 587,901 × 587,901
  4. Step 4: Simplify right side
    379,803x = 345,627,585,801
  5. Step 5: Solve for x
    x = 345,627,585,801/379,803
  6. Step 6: Final answer
    x = 910,018.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.