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Finding the Third Proportional to 446,294 and 624,225

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Solution

The third proportional to 446,294 and 624,225 is: 873,094.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,294 : 624,225 = 624,225 : x
  2. Step 2: Convert to fraction form
    446,294/624,225 = 624,225/x
  3. Step 3: Cross multiply
    446,294x = 624,225 × 624,225
  4. Step 4: Simplify right side
    446,294x = 389,656,850,625
  5. Step 5: Solve for x
    x = 389,656,850,625/446,294
  6. Step 6: Final answer
    x = 873,094.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.