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Finding the Third Proportional to 341,782 and 734,156

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Solution

The third proportional to 341,782 and 734,156 is: 1,576,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,782 : 734,156 = 734,156 : x
  2. Step 2: Convert to fraction form
    341,782/734,156 = 734,156/x
  3. Step 3: Cross multiply
    341,782x = 734,156 × 734,156
  4. Step 4: Simplify right side
    341,782x = 538,985,032,336
  5. Step 5: Solve for x
    x = 538,985,032,336/341,782
  6. Step 6: Final answer
    x = 1,576,984.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.