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Finding the Third Proportional to 228,447.56 and 495,030.94

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Solution

The third proportional to 228,447.56 and 495,030.94 is: 1,072,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,447.56 : 495,030.94 = 495,030.94 : x
  2. Step 2: Convert to fraction form
    228,447.56/495,030.94 = 495,030.94/x
  3. Step 3: Cross multiply
    228,447.56x = 495,030.94 × 495,030.94
  4. Step 4: Simplify right side
    228,447.56x = 245,055,629,082.13
  5. Step 5: Solve for x
    x = 245,055,629,082.13/228,447.56
  6. Step 6: Final answer
    x = 1,072,699.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.