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Finding the Third Proportional to 338,322 and 734,958

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Solution

The third proportional to 338,322 and 734,958 is: 1,596,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,322 : 734,958 = 734,958 : x
  2. Step 2: Convert to fraction form
    338,322/734,958 = 734,958/x
  3. Step 3: Cross multiply
    338,322x = 734,958 × 734,958
  4. Step 4: Simplify right side
    338,322x = 540,163,261,764
  5. Step 5: Solve for x
    x = 540,163,261,764/338,322
  6. Step 6: Final answer
    x = 1,596,595.14

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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.