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Finding the Third Proportional to 348,440 and 763,274

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Solution

The third proportional to 348,440 and 763,274 is: 1,671,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,440 : 763,274 = 763,274 : x
  2. Step 2: Convert to fraction form
    348,440/763,274 = 763,274/x
  3. Step 3: Cross multiply
    348,440x = 763,274 × 763,274
  4. Step 4: Simplify right side
    348,440x = 582,587,199,076
  5. Step 5: Solve for x
    x = 582,587,199,076/348,440
  6. Step 6: Final answer
    x = 1,671,987.14

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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.