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Finding the Third Proportional to 388,529,586 and 597,800,749.50

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Solution

The third proportional to 388,529,586 and 597,800,749.50 is: 919,790,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,529,586 : 597,800,749.50 = 597,800,749.50 : x
  2. Step 2: Convert to fraction form
    388,529,586/597,800,749.50 = 597,800,749.50/x
  3. Step 3: Cross multiply
    388,529,586x = 597,800,749.50 × 597,800,749.50
  4. Step 4: Simplify right side
    388,529,586x = 357,365,736,102,761,728
  5. Step 5: Solve for x
    x = 357,365,736,102,761,728/388,529,586
  6. Step 6: Final answer
    x = 919,790,278.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.