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Finding the Third Proportional to 432,069.19 and 946,287.56

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Solution

The third proportional to 432,069.19 and 946,287.56 is: 2,072,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,069.19 : 946,287.56 = 946,287.56 : x
  2. Step 2: Convert to fraction form
    432,069.19/946,287.56 = 946,287.56/x
  3. Step 3: Cross multiply
    432,069.19x = 946,287.56 × 946,287.56
  4. Step 4: Simplify right side
    432,069.19x = 895,460,150,942.19
  5. Step 5: Solve for x
    x = 895,460,150,942.19/432,069.19
  6. Step 6: Final answer
    x = 2,072,492.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.