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Finding the Third Proportional to 397,360.50 and 594,478.50

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Solution

The third proportional to 397,360.50 and 594,478.50 is: 889,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,360.50 : 594,478.50 = 594,478.50 : x
  2. Step 2: Convert to fraction form
    397,360.50/594,478.50 = 594,478.50/x
  3. Step 3: Cross multiply
    397,360.50x = 594,478.50 × 594,478.50
  4. Step 4: Simplify right side
    397,360.50x = 353,404,686,962.25
  5. Step 5: Solve for x
    x = 353,404,686,962.25/397,360.50
  6. Step 6: Final answer
    x = 889,380.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.