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Finding the Third Proportional to 441,540 and 699,465

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Solution

The third proportional to 441,540 and 699,465 is: 1,108,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,540 : 699,465 = 699,465 : x
  2. Step 2: Convert to fraction form
    441,540/699,465 = 699,465/x
  3. Step 3: Cross multiply
    441,540x = 699,465 × 699,465
  4. Step 4: Simplify right side
    441,540x = 489,251,286,225
  5. Step 5: Solve for x
    x = 489,251,286,225/441,540
  6. Step 6: Final answer
    x = 1,108,056.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.