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Finding the Third Proportional to 430,254 and 946,296

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Solution

The third proportional to 430,254 and 946,296 is: 2,081,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,254 : 946,296 = 946,296 : x
  2. Step 2: Convert to fraction form
    430,254/946,296 = 946,296/x
  3. Step 3: Cross multiply
    430,254x = 946,296 × 946,296
  4. Step 4: Simplify right side
    430,254x = 895,476,119,616
  5. Step 5: Solve for x
    x = 895,476,119,616/430,254
  6. Step 6: Final answer
    x = 2,081,273.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.