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Finding the Third Proportional to 350,028 and 763,410

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Solution

The third proportional to 350,028 and 763,410 is: 1,664,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,028 : 763,410 = 763,410 : x
  2. Step 2: Convert to fraction form
    350,028/763,410 = 763,410/x
  3. Step 3: Cross multiply
    350,028x = 763,410 × 763,410
  4. Step 4: Simplify right side
    350,028x = 582,794,828,100
  5. Step 5: Solve for x
    x = 582,794,828,100/350,028
  6. Step 6: Final answer
    x = 1,664,994.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.