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Finding the Third Proportional to 228,307.78 and 495,520.03

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Solution

The third proportional to 228,307.78 and 495,520.03 is: 1,075,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,307.78 : 495,520.03 = 495,520.03 : x
  2. Step 2: Convert to fraction form
    228,307.78/495,520.03 = 495,520.03/x
  3. Step 3: Cross multiply
    228,307.78x = 495,520.03 × 495,520.03
  4. Step 4: Simplify right side
    228,307.78x = 245,540,101,370.00
  5. Step 5: Solve for x
    x = 245,540,101,370.00/228,307.78
  6. Step 6: Final answer
    x = 1,075,478.46

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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.