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Finding the Third Proportional to 499,514 and 794,481

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Solution

The third proportional to 499,514 and 794,481 is: 1,263,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,514 : 794,481 = 794,481 : x
  2. Step 2: Convert to fraction form
    499,514/794,481 = 794,481/x
  3. Step 3: Cross multiply
    499,514x = 794,481 × 794,481
  4. Step 4: Simplify right side
    499,514x = 631,200,059,361
  5. Step 5: Solve for x
    x = 631,200,059,361/499,514
  6. Step 6: Final answer
    x = 1,263,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.