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Finding the Third Proportional to 402,214 and 794,276

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Solution

The third proportional to 402,214 and 794,276 is: 1,568,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,214 : 794,276 = 794,276 : x
  2. Step 2: Convert to fraction form
    402,214/794,276 = 794,276/x
  3. Step 3: Cross multiply
    402,214x = 794,276 × 794,276
  4. Step 4: Simplify right side
    402,214x = 630,874,364,176
  5. Step 5: Solve for x
    x = 630,874,364,176/402,214
  6. Step 6: Final answer
    x = 1,568,504.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.