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Finding the Third Proportional to 338,329.50 and 734,961

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Solution

The third proportional to 338,329.50 and 734,961 is: 1,596,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,329.50 : 734,961 = 734,961 : x
  2. Step 2: Convert to fraction form
    338,329.50/734,961 = 734,961/x
  3. Step 3: Cross multiply
    338,329.50x = 734,961 × 734,961
  4. Step 4: Simplify right side
    338,329.50x = 540,167,671,521
  5. Step 5: Solve for x
    x = 540,167,671,521/338,329.50
  6. Step 6: Final answer
    x = 1,596,572.78

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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.