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Finding the Third Proportional to 430,524 and 946,596

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Solution

The third proportional to 430,524 and 946,596 is: 2,081,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,524 : 946,596 = 946,596 : x
  2. Step 2: Convert to fraction form
    430,524/946,596 = 946,596/x
  3. Step 3: Cross multiply
    430,524x = 946,596 × 946,596
  4. Step 4: Simplify right side
    430,524x = 896,043,987,216
  5. Step 5: Solve for x
    x = 896,043,987,216/430,524
  6. Step 6: Final answer
    x = 2,081,286.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.