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Finding the Third Proportional to 368,578 and 803,852

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Solution

The third proportional to 368,578 and 803,852 is: 1,753,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,578 : 803,852 = 803,852 : x
  2. Step 2: Convert to fraction form
    368,578/803,852 = 803,852/x
  3. Step 3: Cross multiply
    368,578x = 803,852 × 803,852
  4. Step 4: Simplify right side
    368,578x = 646,178,037,904
  5. Step 5: Solve for x
    x = 646,178,037,904/368,578
  6. Step 6: Final answer
    x = 1,753,164.97

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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.