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Finding the Third Proportional to 346,554 and 433,806.75

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Solution

The third proportional to 346,554 and 433,806.75 is: 543,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,554 : 433,806.75 = 433,806.75 : x
  2. Step 2: Convert to fraction form
    346,554/433,806.75 = 433,806.75/x
  3. Step 3: Cross multiply
    346,554x = 433,806.75 × 433,806.75
  4. Step 4: Simplify right side
    346,554x = 188,188,296,345.56
  5. Step 5: Solve for x
    x = 188,188,296,345.56/346,554
  6. Step 6: Final answer
    x = 543,027.34

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.