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Finding the Third Proportional to 338,316 and 734,946

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Solution

The third proportional to 338,316 and 734,946 is: 1,596,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,316 : 734,946 = 734,946 : x
  2. Step 2: Convert to fraction form
    338,316/734,946 = 734,946/x
  3. Step 3: Cross multiply
    338,316x = 734,946 × 734,946
  4. Step 4: Simplify right side
    338,316x = 540,145,622,916
  5. Step 5: Solve for x
    x = 540,145,622,916/338,316
  6. Step 6: Final answer
    x = 1,596,571.32

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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.