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Finding the Third Proportional to 354,470 and 544,846

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Solution

The third proportional to 354,470 and 544,846 is: 837,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,470 : 544,846 = 544,846 : x
  2. Step 2: Convert to fraction form
    354,470/544,846 = 544,846/x
  3. Step 3: Cross multiply
    354,470x = 544,846 × 544,846
  4. Step 4: Simplify right side
    354,470x = 296,857,163,716
  5. Step 5: Solve for x
    x = 296,857,163,716/354,470
  6. Step 6: Final answer
    x = 837,467.67

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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.