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Finding the Third Proportional to 368,176 and 794,342

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Solution

The third proportional to 368,176 and 794,342 is: 1,713,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,176 : 794,342 = 794,342 : x
  2. Step 2: Convert to fraction form
    368,176/794,342 = 794,342/x
  3. Step 3: Cross multiply
    368,176x = 794,342 × 794,342
  4. Step 4: Simplify right side
    368,176x = 630,979,212,964
  5. Step 5: Solve for x
    x = 630,979,212,964/368,176
  6. Step 6: Final answer
    x = 1,713,797.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.