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Finding the Third Proportional to 348,410 and 763,251

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Solution

The third proportional to 348,410 and 763,251 is: 1,672,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,410 : 763,251 = 763,251 : x
  2. Step 2: Convert to fraction form
    348,410/763,251 = 763,251/x
  3. Step 3: Cross multiply
    348,410x = 763,251 × 763,251
  4. Step 4: Simplify right side
    348,410x = 582,552,089,001
  5. Step 5: Solve for x
    x = 582,552,089,001/348,410
  6. Step 6: Final answer
    x = 1,672,030.33

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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.