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Finding the Third Proportional to 348,417 and 763,263

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Solution

The third proportional to 348,417 and 763,263 is: 1,672,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,417 : 763,263 = 763,263 : x
  2. Step 2: Convert to fraction form
    348,417/763,263 = 763,263/x
  3. Step 3: Cross multiply
    348,417x = 763,263 × 763,263
  4. Step 4: Simplify right side
    348,417x = 582,570,407,169
  5. Step 5: Solve for x
    x = 582,570,407,169/348,417
  6. Step 6: Final answer
    x = 1,672,049.32

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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.