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Finding the Third Proportional to 367,497 and 809,483.63

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Solution

The third proportional to 367,497 and 809,483.63 is: 1,783,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,497 : 809,483.63 = 809,483.63 : x
  2. Step 2: Convert to fraction form
    367,497/809,483.63 = 809,483.63/x
  3. Step 3: Cross multiply
    367,497x = 809,483.63 × 809,483.63
  4. Step 4: Simplify right side
    367,497x = 655,263,739,143.14
  5. Step 5: Solve for x
    x = 655,263,739,143.14/367,497
  6. Step 6: Final answer
    x = 1,783,045.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.