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Finding the Third Proportional to 656,815.50 and 985,233.38

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Solution

The third proportional to 656,815.50 and 985,233.38 is: 1,477,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,815.50 : 985,233.38 = 985,233.38 : x
  2. Step 2: Convert to fraction form
    656,815.50/985,233.38 = 985,233.38/x
  3. Step 3: Cross multiply
    656,815.50x = 985,233.38 × 985,233.38
  4. Step 4: Simplify right side
    656,815.50x = 970,684,803,213.89
  5. Step 5: Solve for x
    x = 970,684,803,213.89/656,815.50
  6. Step 6: Final answer
    x = 1,477,865.25

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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.