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Finding the Third Proportional to 382,636.50 and 831,705

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Solution

The third proportional to 382,636.50 and 831,705 is: 1,807,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,636.50 : 831,705 = 831,705 : x
  2. Step 2: Convert to fraction form
    382,636.50/831,705 = 831,705/x
  3. Step 3: Cross multiply
    382,636.50x = 831,705 × 831,705
  4. Step 4: Simplify right side
    382,636.50x = 691,733,207,025
  5. Step 5: Solve for x
    x = 691,733,207,025/382,636.50
  6. Step 6: Final answer
    x = 1,807,807.69

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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.