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Finding the Third Proportional to 430,275 and 945,474

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Solution

The third proportional to 430,275 and 945,474 is: 2,077,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,275 : 945,474 = 945,474 : x
  2. Step 2: Convert to fraction form
    430,275/945,474 = 945,474/x
  3. Step 3: Cross multiply
    430,275x = 945,474 × 945,474
  4. Step 4: Simplify right side
    430,275x = 893,921,084,676
  5. Step 5: Solve for x
    x = 893,921,084,676/430,275
  6. Step 6: Final answer
    x = 2,077,557.57

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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.