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Finding the Third Proportional to 354,450 and 544,814

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Solution

The third proportional to 354,450 and 544,814 is: 837,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,450 : 544,814 = 544,814 : x
  2. Step 2: Convert to fraction form
    354,450/544,814 = 544,814/x
  3. Step 3: Cross multiply
    354,450x = 544,814 × 544,814
  4. Step 4: Simplify right side
    354,450x = 296,822,294,596
  5. Step 5: Solve for x
    x = 296,822,294,596/354,450
  6. Step 6: Final answer
    x = 837,416.55

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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.