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Finding the Third Proportional to 289,009.50 and 460,267.50

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Solution

The third proportional to 289,009.50 and 460,267.50 is: 733,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.50 : 460,267.50 = 460,267.50 : x
  2. Step 2: Convert to fraction form
    289,009.50/460,267.50 = 460,267.50/x
  3. Step 3: Cross multiply
    289,009.50x = 460,267.50 × 460,267.50
  4. Step 4: Simplify right side
    289,009.50x = 211,846,171,556.25
  5. Step 5: Solve for x
    x = 211,846,171,556.25/289,009.50
  6. Step 6: Final answer
    x = 733,007.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.