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Finding the Third Proportional to 211,541.63 and 452,604.94

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Solution

The third proportional to 211,541.63 and 452,604.94 is: 968,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,541.63 : 452,604.94 = 452,604.94 : x
  2. Step 2: Convert to fraction form
    211,541.63/452,604.94 = 452,604.94/x
  3. Step 3: Cross multiply
    211,541.63x = 452,604.94 × 452,604.94
  4. Step 4: Simplify right side
    211,541.63x = 204,851,229,449.38
  5. Step 5: Solve for x
    x = 204,851,229,449.38/211,541.63
  6. Step 6: Final answer
    x = 968,373.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.