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Finding the Third Proportional to 343,629 and 525,649.50

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Solution

The third proportional to 343,629 and 525,649.50 is: 804,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,629 : 525,649.50 = 525,649.50 : x
  2. Step 2: Convert to fraction form
    343,629/525,649.50 = 525,649.50/x
  3. Step 3: Cross multiply
    343,629x = 525,649.50 × 525,649.50
  4. Step 4: Simplify right side
    343,629x = 276,307,396,850.25
  5. Step 5: Solve for x
    x = 276,307,396,850.25/343,629
  6. Step 6: Final answer
    x = 804,086.37

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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.