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Finding the Third Proportional to 228,506 and 495,149

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Solution

The third proportional to 228,506 and 495,149 is: 1,072,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,506 : 495,149 = 495,149 : x
  2. Step 2: Convert to fraction form
    228,506/495,149 = 495,149/x
  3. Step 3: Cross multiply
    228,506x = 495,149 × 495,149
  4. Step 4: Simplify right side
    228,506x = 245,172,532,201
  5. Step 5: Solve for x
    x = 245,172,532,201/228,506
  6. Step 6: Final answer
    x = 1,072,936.96

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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.