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Finding the Third Proportional to 402,226 and 794,300

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Solution

The third proportional to 402,226 and 794,300 is: 1,568,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,226 : 794,300 = 794,300 : x
  2. Step 2: Convert to fraction form
    402,226/794,300 = 794,300/x
  3. Step 3: Cross multiply
    402,226x = 794,300 × 794,300
  4. Step 4: Simplify right side
    402,226x = 630,912,490,000
  5. Step 5: Solve for x
    x = 630,912,490,000/402,226
  6. Step 6: Final answer
    x = 1,568,552.23

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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.