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Finding the Third Proportional to 343,631 and 525,653

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Solution

The third proportional to 343,631 and 525,653 is: 804,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,631 : 525,653 = 525,653 : x
  2. Step 2: Convert to fraction form
    343,631/525,653 = 525,653/x
  3. Step 3: Cross multiply
    343,631x = 525,653 × 525,653
  4. Step 4: Simplify right side
    343,631x = 276,311,076,409
  5. Step 5: Solve for x
    x = 276,311,076,409/343,631
  6. Step 6: Final answer
    x = 804,092.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.