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Finding the Third Proportional to 289,953 and 624,811.50

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Solution

The third proportional to 289,953 and 624,811.50 is: 1,346,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,953 : 624,811.50 = 624,811.50 : x
  2. Step 2: Convert to fraction form
    289,953/624,811.50 = 624,811.50/x
  3. Step 3: Cross multiply
    289,953x = 624,811.50 × 624,811.50
  4. Step 4: Simplify right side
    289,953x = 390,389,410,532.25
  5. Step 5: Solve for x
    x = 390,389,410,532.25/289,953
  6. Step 6: Final answer
    x = 1,346,388.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.