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Finding the Third Proportional to 402,405 and 603,657

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Solution

The third proportional to 402,405 and 603,657 is: 905,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,405 : 603,657 = 603,657 : x
  2. Step 2: Convert to fraction form
    402,405/603,657 = 603,657/x
  3. Step 3: Cross multiply
    402,405x = 603,657 × 603,657
  4. Step 4: Simplify right side
    402,405x = 364,401,773,649
  5. Step 5: Solve for x
    x = 364,401,773,649/402,405
  6. Step 6: Final answer
    x = 905,559.76

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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.