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Finding the Third Proportional to 348,030 and 763,290

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Solution

The third proportional to 348,030 and 763,290 is: 1,674,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,030 : 763,290 = 763,290 : x
  2. Step 2: Convert to fraction form
    348,030/763,290 = 763,290/x
  3. Step 3: Cross multiply
    348,030x = 763,290 × 763,290
  4. Step 4: Simplify right side
    348,030x = 582,611,624,100
  5. Step 5: Solve for x
    x = 582,611,624,100/348,030
  6. Step 6: Final answer
    x = 1,674,027.02

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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.