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Finding the Third Proportional to 421,771.50 and 616,927.50

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Solution

The third proportional to 421,771.50 and 616,927.50 is: 902,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,771.50 : 616,927.50 = 616,927.50 : x
  2. Step 2: Convert to fraction form
    421,771.50/616,927.50 = 616,927.50/x
  3. Step 3: Cross multiply
    421,771.50x = 616,927.50 × 616,927.50
  4. Step 4: Simplify right side
    421,771.50x = 380,599,540,256.25
  5. Step 5: Solve for x
    x = 380,599,540,256.25/421,771.50
  6. Step 6: Final answer
    x = 902,383.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.