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Finding the Third Proportional to 437,203.50 and 656,211

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Solution

The third proportional to 437,203.50 and 656,211 is: 984,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,203.50 : 656,211 = 656,211 : x
  2. Step 2: Convert to fraction form
    437,203.50/656,211 = 656,211/x
  3. Step 3: Cross multiply
    437,203.50x = 656,211 × 656,211
  4. Step 4: Simplify right side
    437,203.50x = 430,612,876,521
  5. Step 5: Solve for x
    x = 430,612,876,521/437,203.50
  6. Step 6: Final answer
    x = 984,925.50

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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.