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Finding the Third Proportional to 496,596 and 670,674

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Solution

The third proportional to 496,596 and 670,674 is: 905,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,596 : 670,674 = 670,674 : x
  2. Step 2: Convert to fraction form
    496,596/670,674 = 670,674/x
  3. Step 3: Cross multiply
    496,596x = 670,674 × 670,674
  4. Step 4: Simplify right side
    496,596x = 449,803,614,276
  5. Step 5: Solve for x
    x = 449,803,614,276/496,596
  6. Step 6: Final answer
    x = 905,773.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.