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Finding the Third Proportional to 228,123 and 470,700

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Solution

The third proportional to 228,123 and 470,700 is: 971,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,123 : 470,700 = 470,700 : x
  2. Step 2: Convert to fraction form
    228,123/470,700 = 470,700/x
  3. Step 3: Cross multiply
    228,123x = 470,700 × 470,700
  4. Step 4: Simplify right side
    228,123x = 221,558,490,000
  5. Step 5: Solve for x
    x = 221,558,490,000/228,123
  6. Step 6: Final answer
    x = 971,223.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.