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Finding the Third Proportional to 443,431.50 and 972,702

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Solution

The third proportional to 443,431.50 and 972,702 is: 2,133,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,431.50 : 972,702 = 972,702 : x
  2. Step 2: Convert to fraction form
    443,431.50/972,702 = 972,702/x
  3. Step 3: Cross multiply
    443,431.50x = 972,702 × 972,702
  4. Step 4: Simplify right side
    443,431.50x = 946,149,180,804
  5. Step 5: Solve for x
    x = 946,149,180,804/443,431.50
  6. Step 6: Final answer
    x = 2,133,698.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.