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Finding the Third Proportional to 441,859.50 and 675,630

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Solution

The third proportional to 441,859.50 and 675,630 is: 1,033,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,859.50 : 675,630 = 675,630 : x
  2. Step 2: Convert to fraction form
    441,859.50/675,630 = 675,630/x
  3. Step 3: Cross multiply
    441,859.50x = 675,630 × 675,630
  4. Step 4: Simplify right side
    441,859.50x = 456,475,896,900
  5. Step 5: Solve for x
    x = 456,475,896,900/441,859.50
  6. Step 6: Final answer
    x = 1,033,079.29

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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.