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Finding the Third Proportional to 280,401 and 423,946

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Solution

The third proportional to 280,401 and 423,946 is: 640,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,401 : 423,946 = 423,946 : x
  2. Step 2: Convert to fraction form
    280,401/423,946 = 423,946/x
  3. Step 3: Cross multiply
    280,401x = 423,946 × 423,946
  4. Step 4: Simplify right side
    280,401x = 179,730,210,916
  5. Step 5: Solve for x
    x = 179,730,210,916/280,401
  6. Step 6: Final answer
    x = 640,975.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.