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Finding the Third Proportional to 338,294 and 734,908

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Solution

The third proportional to 338,294 and 734,908 is: 1,596,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,294 : 734,908 = 734,908 : x
  2. Step 2: Convert to fraction form
    338,294/734,908 = 734,908/x
  3. Step 3: Cross multiply
    338,294x = 734,908 × 734,908
  4. Step 4: Simplify right side
    338,294x = 540,089,768,464
  5. Step 5: Solve for x
    x = 540,089,768,464/338,294
  6. Step 6: Final answer
    x = 1,596,510.04

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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.