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Finding the Third Proportional to 402,401 and 603,650

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Solution

The third proportional to 402,401 and 603,650 is: 905,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,401 : 603,650 = 603,650 : x
  2. Step 2: Convert to fraction form
    402,401/603,650 = 603,650/x
  3. Step 3: Cross multiply
    402,401x = 603,650 × 603,650
  4. Step 4: Simplify right side
    402,401x = 364,393,322,500
  5. Step 5: Solve for x
    x = 364,393,322,500/402,401
  6. Step 6: Final answer
    x = 905,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.