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Finding the Third Proportional to 496,122 and 788,481

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Solution

The third proportional to 496,122 and 788,481 is: 1,253,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,122 : 788,481 = 788,481 : x
  2. Step 2: Convert to fraction form
    496,122/788,481 = 788,481/x
  3. Step 3: Cross multiply
    496,122x = 788,481 × 788,481
  4. Step 4: Simplify right side
    496,122x = 621,702,287,361
  5. Step 5: Solve for x
    x = 621,702,287,361/496,122
  6. Step 6: Final answer
    x = 1,253,123.80

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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.