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Finding the Third Proportional to 476,829 and 720,103

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Solution

The third proportional to 476,829 and 720,103 is: 1,087,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,829 : 720,103 = 720,103 : x
  2. Step 2: Convert to fraction form
    476,829/720,103 = 720,103/x
  3. Step 3: Cross multiply
    476,829x = 720,103 × 720,103
  4. Step 4: Simplify right side
    476,829x = 518,548,330,609
  5. Step 5: Solve for x
    x = 518,548,330,609/476,829
  6. Step 6: Final answer
    x = 1,087,493.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.