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Finding the Third Proportional to 496,716 and 746,526

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Solution

The third proportional to 496,716 and 746,526 is: 1,121,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,716 : 746,526 = 746,526 : x
  2. Step 2: Convert to fraction form
    496,716/746,526 = 746,526/x
  3. Step 3: Cross multiply
    496,716x = 746,526 × 746,526
  4. Step 4: Simplify right side
    496,716x = 557,301,068,676
  5. Step 5: Solve for x
    x = 557,301,068,676/496,716
  6. Step 6: Final answer
    x = 1,121,971.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.