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Finding the Third Proportional to 342,009 and 524,949.75

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Solution

The third proportional to 342,009 and 524,949.75 is: 805,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,009 : 524,949.75 = 524,949.75 : x
  2. Step 2: Convert to fraction form
    342,009/524,949.75 = 524,949.75/x
  3. Step 3: Cross multiply
    342,009x = 524,949.75 × 524,949.75
  4. Step 4: Simplify right side
    342,009x = 275,572,240,025.06
  5. Step 5: Solve for x
    x = 275,572,240,025.06/342,009
  6. Step 6: Final answer
    x = 805,745.58

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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.