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Finding the Third Proportional to 469,962 and 669,951

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Solution

The third proportional to 469,962 and 669,951 is: 955,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,962 : 669,951 = 669,951 : x
  2. Step 2: Convert to fraction form
    469,962/669,951 = 669,951/x
  3. Step 3: Cross multiply
    469,962x = 669,951 × 669,951
  4. Step 4: Simplify right side
    469,962x = 448,834,342,401
  5. Step 5: Solve for x
    x = 448,834,342,401/469,962
  6. Step 6: Final answer
    x = 955,043.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.