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Finding the Third Proportional to 277,228.50 and 604,212

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Solution

The third proportional to 277,228.50 and 604,212 is: 1,316,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,228.50 : 604,212 = 604,212 : x
  2. Step 2: Convert to fraction form
    277,228.50/604,212 = 604,212/x
  3. Step 3: Cross multiply
    277,228.50x = 604,212 × 604,212
  4. Step 4: Simplify right side
    277,228.50x = 365,072,140,944
  5. Step 5: Solve for x
    x = 365,072,140,944/277,228.50
  6. Step 6: Final answer
    x = 1,316,863.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.