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Finding the Third Proportional to 468,268 and 669,182

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Solution

The third proportional to 468,268 and 669,182 is: 956,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,268 : 669,182 = 669,182 : x
  2. Step 2: Convert to fraction form
    468,268/669,182 = 669,182/x
  3. Step 3: Cross multiply
    468,268x = 669,182 × 669,182
  4. Step 4: Simplify right side
    468,268x = 447,804,549,124
  5. Step 5: Solve for x
    x = 447,804,549,124/468,268
  6. Step 6: Final answer
    x = 956,299.70

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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.