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Finding the Third Proportional to 204,071.50 and 476,540

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Solution

The third proportional to 204,071.50 and 476,540 is: 1,112,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071.50 : 476,540 = 476,540 : x
  2. Step 2: Convert to fraction form
    204,071.50/476,540 = 476,540/x
  3. Step 3: Cross multiply
    204,071.50x = 476,540 × 476,540
  4. Step 4: Simplify right side
    204,071.50x = 227,090,371,600
  5. Step 5: Solve for x
    x = 227,090,371,600/204,071.50
  6. Step 6: Final answer
    x = 1,112,798.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.