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Finding the Third Proportional to 348,936 and 761,360

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Solution

The third proportional to 348,936 and 761,360 is: 1,661,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,936 : 761,360 = 761,360 : x
  2. Step 2: Convert to fraction form
    348,936/761,360 = 761,360/x
  3. Step 3: Cross multiply
    348,936x = 761,360 × 761,360
  4. Step 4: Simplify right side
    348,936x = 579,669,049,600
  5. Step 5: Solve for x
    x = 579,669,049,600/348,936
  6. Step 6: Final answer
    x = 1,661,247.48

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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.