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Finding the Third Proportional to 248,585.63 and 541,468.13

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Solution

The third proportional to 248,585.63 and 541,468.13 is: 1,179,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,585.63 : 541,468.13 = 541,468.13 : x
  2. Step 2: Convert to fraction form
    248,585.63/541,468.13 = 541,468.13/x
  3. Step 3: Cross multiply
    248,585.63x = 541,468.13 × 541,468.13
  4. Step 4: Simplify right side
    248,585.63x = 293,187,730,391.02
  5. Step 5: Solve for x
    x = 293,187,730,391.02/248,585.63
  6. Step 6: Final answer
    x = 1,179,423.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.