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Finding the Third Proportional to 468,293 and 669,179

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Solution

The third proportional to 468,293 and 669,179 is: 956,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,293 : 669,179 = 669,179 : x
  2. Step 2: Convert to fraction form
    468,293/669,179 = 669,179/x
  3. Step 3: Cross multiply
    468,293x = 669,179 × 669,179
  4. Step 4: Simplify right side
    468,293x = 447,800,534,041
  5. Step 5: Solve for x
    x = 447,800,534,041/468,293
  6. Step 6: Final answer
    x = 956,240.08

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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.