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Finding the Third Proportional to 371,280 and 579,096

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Solution

The third proportional to 371,280 and 579,096 is: 903,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,280 : 579,096 = 579,096 : x
  2. Step 2: Convert to fraction form
    371,280/579,096 = 579,096/x
  3. Step 3: Cross multiply
    371,280x = 579,096 × 579,096
  4. Step 4: Simplify right side
    371,280x = 335,352,177,216
  5. Step 5: Solve for x
    x = 335,352,177,216/371,280
  6. Step 6: Final answer
    x = 903,232.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.