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Finding the Third Proportional to 343,410.75 and 525,324.38

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Solution

The third proportional to 343,410.75 and 525,324.38 is: 803,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,410.75 : 525,324.38 = 525,324.38 : x
  2. Step 2: Convert to fraction form
    343,410.75/525,324.38 = 525,324.38/x
  3. Step 3: Cross multiply
    343,410.75x = 525,324.38 × 525,324.38
  4. Step 4: Simplify right side
    343,410.75x = 275,965,698,969.14
  5. Step 5: Solve for x
    x = 275,965,698,969.14/343,410.75
  6. Step 6: Final answer
    x = 803,602.39

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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.