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Finding the Third Proportional to 312,220.50 and 446,154.75

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Solution

The third proportional to 312,220.50 and 446,154.75 is: 637,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,220.50 : 446,154.75 = 446,154.75 : x
  2. Step 2: Convert to fraction form
    312,220.50/446,154.75 = 446,154.75/x
  3. Step 3: Cross multiply
    312,220.50x = 446,154.75 × 446,154.75
  4. Step 4: Simplify right side
    312,220.50x = 199,054,060,947.56
  5. Step 5: Solve for x
    x = 199,054,060,947.56/312,220.50
  6. Step 6: Final answer
    x = 637,543.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.