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Finding the Third Proportional to 322,994,722.50 and 501,100,224.75

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Solution

The third proportional to 322,994,722.50 and 501,100,224.75 is: 777,416,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994,722.50 : 501,100,224.75 = 501,100,224.75 : x
  2. Step 2: Convert to fraction form
    322,994,722.50/501,100,224.75 = 501,100,224.75/x
  3. Step 3: Cross multiply
    322,994,722.50x = 501,100,224.75 × 501,100,224.75
  4. Step 4: Simplify right side
    322,994,722.50x = 251,101,435,244,500,512
  5. Step 5: Solve for x
    x = 251,101,435,244,500,512/322,994,722.50
  6. Step 6: Final answer
    x = 777,416,526.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.