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Finding the Third Proportional to 289,062 and 444,865.50

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Solution

The third proportional to 289,062 and 444,865.50 is: 684,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,062 : 444,865.50 = 444,865.50 : x
  2. Step 2: Convert to fraction form
    289,062/444,865.50 = 444,865.50/x
  3. Step 3: Cross multiply
    289,062x = 444,865.50 × 444,865.50
  4. Step 4: Simplify right side
    289,062x = 197,905,313,090.25
  5. Step 5: Solve for x
    x = 197,905,313,090.25/289,062
  6. Step 6: Final answer
    x = 684,646.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.