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Finding the Third Proportional to 426,096 and 662,400

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Solution

The third proportional to 426,096 and 662,400 is: 1,029,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,096 : 662,400 = 662,400 : x
  2. Step 2: Convert to fraction form
    426,096/662,400 = 662,400/x
  3. Step 3: Cross multiply
    426,096x = 662,400 × 662,400
  4. Step 4: Simplify right side
    426,096x = 438,773,760,000
  5. Step 5: Solve for x
    x = 438,773,760,000/426,096
  6. Step 6: Final answer
    x = 1,029,753.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.