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Finding the Third Proportional to 448,826 and 655,878

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Solution

The third proportional to 448,826 and 655,878 is: 958,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,826 : 655,878 = 655,878 : x
  2. Step 2: Convert to fraction form
    448,826/655,878 = 655,878/x
  3. Step 3: Cross multiply
    448,826x = 655,878 × 655,878
  4. Step 4: Simplify right side
    448,826x = 430,175,950,884
  5. Step 5: Solve for x
    x = 430,175,950,884/448,826
  6. Step 6: Final answer
    x = 958,447.04

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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.