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Finding the Third Proportional to 306,384 and 654,852

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Solution

The third proportional to 306,384 and 654,852 is: 1,399,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384 : 654,852 = 654,852 : x
  2. Step 2: Convert to fraction form
    306,384/654,852 = 654,852/x
  3. Step 3: Cross multiply
    306,384x = 654,852 × 654,852
  4. Step 4: Simplify right side
    306,384x = 428,831,141,904
  5. Step 5: Solve for x
    x = 428,831,141,904/306,384
  6. Step 6: Final answer
    x = 1,399,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.