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Finding the Third Proportional to 430,296 and 945,516

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Solution

The third proportional to 430,296 and 945,516 is: 2,077,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,296 : 945,516 = 945,516 : x
  2. Step 2: Convert to fraction form
    430,296/945,516 = 945,516/x
  3. Step 3: Cross multiply
    430,296x = 945,516 × 945,516
  4. Step 4: Simplify right side
    430,296x = 894,000,506,256
  5. Step 5: Solve for x
    x = 894,000,506,256/430,296
  6. Step 6: Final answer
    x = 2,077,640.75

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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.