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Finding the Third Proportional to 448,828 and 655,880

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Solution

The third proportional to 448,828 and 655,880 is: 958,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,828 : 655,880 = 655,880 : x
  2. Step 2: Convert to fraction form
    448,828/655,880 = 655,880/x
  3. Step 3: Cross multiply
    448,828x = 655,880 × 655,880
  4. Step 4: Simplify right side
    448,828x = 430,178,574,400
  5. Step 5: Solve for x
    x = 430,178,574,400/448,828
  6. Step 6: Final answer
    x = 958,448.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.