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Finding the Third Proportional to 369,096.75 and 578,238.75

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Solution

The third proportional to 369,096.75 and 578,238.75 is: 905,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,096.75 : 578,238.75 = 578,238.75 : x
  2. Step 2: Convert to fraction form
    369,096.75/578,238.75 = 578,238.75/x
  3. Step 3: Cross multiply
    369,096.75x = 578,238.75 × 578,238.75
  4. Step 4: Simplify right side
    369,096.75x = 334,360,052,001.56
  5. Step 5: Solve for x
    x = 334,360,052,001.56/369,096.75
  6. Step 6: Final answer
    x = 905,887.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.