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Finding the Third Proportional to 348,571 and 761,105

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Solution

The third proportional to 348,571 and 761,105 is: 1,661,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,571 : 761,105 = 761,105 : x
  2. Step 2: Convert to fraction form
    348,571/761,105 = 761,105/x
  3. Step 3: Cross multiply
    348,571x = 761,105 × 761,105
  4. Step 4: Simplify right side
    348,571x = 579,280,821,025
  5. Step 5: Solve for x
    x = 579,280,821,025/348,571
  6. Step 6: Final answer
    x = 1,661,873.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.