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Finding the Third Proportional to 300,684 and 653,829

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Solution

The third proportional to 300,684 and 653,829 is: 1,421,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,684 : 653,829 = 653,829 : x
  2. Step 2: Convert to fraction form
    300,684/653,829 = 653,829/x
  3. Step 3: Cross multiply
    300,684x = 653,829 × 653,829
  4. Step 4: Simplify right side
    300,684x = 427,492,361,241
  5. Step 5: Solve for x
    x = 427,492,361,241/300,684
  6. Step 6: Final answer
    x = 1,421,732.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.