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Finding the Third Proportional to 343,954 and 531,491

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Solution

The third proportional to 343,954 and 531,491 is: 821,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,954 : 531,491 = 531,491 : x
  2. Step 2: Convert to fraction form
    343,954/531,491 = 531,491/x
  3. Step 3: Cross multiply
    343,954x = 531,491 × 531,491
  4. Step 4: Simplify right side
    343,954x = 282,482,683,081
  5. Step 5: Solve for x
    x = 282,482,683,081/343,954
  6. Step 6: Final answer
    x = 821,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.