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Finding the Third Proportional to 228,123 and 495,124.50

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Solution

The third proportional to 228,123 and 495,124.50 is: 1,074,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,123 : 495,124.50 = 495,124.50 : x
  2. Step 2: Convert to fraction form
    228,123/495,124.50 = 495,124.50/x
  3. Step 3: Cross multiply
    228,123x = 495,124.50 × 495,124.50
  4. Step 4: Simplify right side
    228,123x = 245,148,270,500.25
  5. Step 5: Solve for x
    x = 245,148,270,500.25/228,123
  6. Step 6: Final answer
    x = 1,074,631.98

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