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Finding the Third Proportional to 528,096 and 794,601

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Solution

The third proportional to 528,096 and 794,601 is: 1,195,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,096 : 794,601 = 794,601 : x
  2. Step 2: Convert to fraction form
    528,096/794,601 = 794,601/x
  3. Step 3: Cross multiply
    528,096x = 794,601 × 794,601
  4. Step 4: Simplify right side
    528,096x = 631,390,749,201
  5. Step 5: Solve for x
    x = 631,390,749,201/528,096
  6. Step 6: Final answer
    x = 1,195,598.43

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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.