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Finding the Third Proportional to 535,618 and 734,450

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Solution

The third proportional to 535,618 and 734,450 is: 1,007,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,618 : 734,450 = 734,450 : x
  2. Step 2: Convert to fraction form
    535,618/734,450 = 734,450/x
  3. Step 3: Cross multiply
    535,618x = 734,450 × 734,450
  4. Step 4: Simplify right side
    535,618x = 539,416,802,500
  5. Step 5: Solve for x
    x = 539,416,802,500/535,618
  6. Step 6: Final answer
    x = 1,007,092.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.