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Finding the Third Proportional to 446,164 and 670,236

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Solution

The third proportional to 446,164 and 670,236 is: 1,006,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,164 : 670,236 = 670,236 : x
  2. Step 2: Convert to fraction form
    446,164/670,236 = 670,236/x
  3. Step 3: Cross multiply
    446,164x = 670,236 × 670,236
  4. Step 4: Simplify right side
    446,164x = 449,216,295,696
  5. Step 5: Solve for x
    x = 449,216,295,696/446,164
  6. Step 6: Final answer
    x = 1,006,841.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.