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Finding the Third Proportional to 343,232 and 531,456

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Solution

The third proportional to 343,232 and 531,456 is: 822,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,232 : 531,456 = 531,456 : x
  2. Step 2: Convert to fraction form
    343,232/531,456 = 531,456/x
  3. Step 3: Cross multiply
    343,232x = 531,456 × 531,456
  4. Step 4: Simplify right side
    343,232x = 282,445,479,936
  5. Step 5: Solve for x
    x = 282,445,479,936/343,232
  6. Step 6: Final answer
    x = 822,899.61

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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.