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Finding the Third Proportional to 443,433.75 and 972,709.50

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Solution

The third proportional to 443,433.75 and 972,709.50 is: 2,133,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,433.75 : 972,709.50 = 972,709.50 : x
  2. Step 2: Convert to fraction form
    443,433.75/972,709.50 = 972,709.50/x
  3. Step 3: Cross multiply
    443,433.75x = 972,709.50 × 972,709.50
  4. Step 4: Simplify right side
    443,433.75x = 946,163,771,390.25
  5. Step 5: Solve for x
    x = 946,163,771,390.25/443,433.75
  6. Step 6: Final answer
    x = 2,133,720.70

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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.