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Finding the Third Proportional to 535,612 and 734,442

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Solution

The third proportional to 535,612 and 734,442 is: 1,007,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,612 : 734,442 = 734,442 : x
  2. Step 2: Convert to fraction form
    535,612/734,442 = 734,442/x
  3. Step 3: Cross multiply
    535,612x = 734,442 × 734,442
  4. Step 4: Simplify right side
    535,612x = 539,405,051,364
  5. Step 5: Solve for x
    x = 539,405,051,364/535,612
  6. Step 6: Final answer
    x = 1,007,081.71

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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.