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Finding the Third Proportional to 348,425 and 763,282

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Solution

The third proportional to 348,425 and 763,282 is: 1,672,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,425 : 763,282 = 763,282 : x
  2. Step 2: Convert to fraction form
    348,425/763,282 = 763,282/x
  3. Step 3: Cross multiply
    348,425x = 763,282 × 763,282
  4. Step 4: Simplify right side
    348,425x = 582,599,411,524
  5. Step 5: Solve for x
    x = 582,599,411,524/348,425
  6. Step 6: Final answer
    x = 1,672,094.17

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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.