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Finding the Third Proportional to 397,096 and 595,724

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Solution

The third proportional to 397,096 and 595,724 is: 893,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,096 : 595,724 = 595,724 : x
  2. Step 2: Convert to fraction form
    397,096/595,724 = 595,724/x
  3. Step 3: Cross multiply
    397,096x = 595,724 × 595,724
  4. Step 4: Simplify right side
    397,096x = 354,887,084,176
  5. Step 5: Solve for x
    x = 354,887,084,176/397,096
  6. Step 6: Final answer
    x = 893,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.