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Finding the Third Proportional to 402,212 and 794,272

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Solution

The third proportional to 402,212 and 794,272 is: 1,568,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,212 : 794,272 = 794,272 : x
  2. Step 2: Convert to fraction form
    402,212/794,272 = 794,272/x
  3. Step 3: Cross multiply
    402,212x = 794,272 × 794,272
  4. Step 4: Simplify right side
    402,212x = 630,868,009,984
  5. Step 5: Solve for x
    x = 630,868,009,984/402,212
  6. Step 6: Final answer
    x = 1,568,496.24

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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.