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Finding the Third Proportional to 329,368 and 670,400

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Solution

The third proportional to 329,368 and 670,400 is: 1,364,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,368 : 670,400 = 670,400 : x
  2. Step 2: Convert to fraction form
    329,368/670,400 = 670,400/x
  3. Step 3: Cross multiply
    329,368x = 670,400 × 670,400
  4. Step 4: Simplify right side
    329,368x = 449,436,160,000
  5. Step 5: Solve for x
    x = 449,436,160,000/329,368
  6. Step 6: Final answer
    x = 1,364,541.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.