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Finding the Third Proportional to 466,400 and 1,030,809.50

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Solution

The third proportional to 466,400 and 1,030,809.50 is: 2,278,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,400 : 1,030,809.50 = 1,030,809.50 : x
  2. Step 2: Convert to fraction form
    466,400/1,030,809.50 = 1,030,809.50/x
  3. Step 3: Cross multiply
    466,400x = 1,030,809.50 × 1,030,809.50
  4. Step 4: Simplify right side
    466,400x = 1,062,568,225,290.25
  5. Step 5: Solve for x
    x = 1,062,568,225,290.25/466,400
  6. Step 6: Final answer
    x = 2,278,233.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.