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Finding the Third Proportional to 294,556 and 450,401

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Solution

The third proportional to 294,556 and 450,401 is: 688,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,556 : 450,401 = 450,401 : x
  2. Step 2: Convert to fraction form
    294,556/450,401 = 450,401/x
  3. Step 3: Cross multiply
    294,556x = 450,401 × 450,401
  4. Step 4: Simplify right side
    294,556x = 202,861,060,801
  5. Step 5: Solve for x
    x = 202,861,060,801/294,556
  6. Step 6: Final answer
    x = 688,701.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.