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Finding the Third Proportional to 354,478.50 and 544,857.75

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Solution

The third proportional to 354,478.50 and 544,857.75 is: 837,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,478.50 : 544,857.75 = 544,857.75 : x
  2. Step 2: Convert to fraction form
    354,478.50/544,857.75 = 544,857.75/x
  3. Step 3: Cross multiply
    354,478.50x = 544,857.75 × 544,857.75
  4. Step 4: Simplify right side
    354,478.50x = 296,869,967,735.06
  5. Step 5: Solve for x
    x = 296,869,967,735.06/354,478.50
  6. Step 6: Final answer
    x = 837,483.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.