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Finding the Third Proportional to 218,354 and 477,439.75

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Solution

The third proportional to 218,354 and 477,439.75 is: 1,043,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,354 : 477,439.75 = 477,439.75 : x
  2. Step 2: Convert to fraction form
    218,354/477,439.75 = 477,439.75/x
  3. Step 3: Cross multiply
    218,354x = 477,439.75 × 477,439.75
  4. Step 4: Simplify right side
    218,354x = 227,948,714,880.06
  5. Step 5: Solve for x
    x = 227,948,714,880.06/218,354
  6. Step 6: Final answer
    x = 1,043,941.10

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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.