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Finding the Third Proportional to 211,460.63 and 464,793.19

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Solution

The third proportional to 211,460.63 and 464,793.19 is: 1,021,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460.63 : 464,793.19 = 464,793.19 : x
  2. Step 2: Convert to fraction form
    211,460.63/464,793.19 = 464,793.19/x
  3. Step 3: Cross multiply
    211,460.63x = 464,793.19 × 464,793.19
  4. Step 4: Simplify right side
    211,460.63x = 216,032,707,146.41
  5. Step 5: Solve for x
    x = 216,032,707,146.41/211,460.63
  6. Step 6: Final answer
    x = 1,021,621.43

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