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Finding the Third Proportional to 348,420 and 763,236

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Solution

The third proportional to 348,420 and 763,236 is: 1,671,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,420 : 763,236 = 763,236 : x
  2. Step 2: Convert to fraction form
    348,420/763,236 = 763,236/x
  3. Step 3: Cross multiply
    348,420x = 763,236 × 763,236
  4. Step 4: Simplify right side
    348,420x = 582,529,191,696
  5. Step 5: Solve for x
    x = 582,529,191,696/348,420
  6. Step 6: Final answer
    x = 1,671,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.