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Finding the Third Proportional to 338,026 and 734,444

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Solution

The third proportional to 338,026 and 734,444 is: 1,595,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,026 : 734,444 = 734,444 : x
  2. Step 2: Convert to fraction form
    338,026/734,444 = 734,444/x
  3. Step 3: Cross multiply
    338,026x = 734,444 × 734,444
  4. Step 4: Simplify right side
    338,026x = 539,407,989,136
  5. Step 5: Solve for x
    x = 539,407,989,136/338,026
  6. Step 6: Final answer
    x = 1,595,758.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.