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Finding the Third Proportional to 446,160 and 670,230

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Solution

The third proportional to 446,160 and 670,230 is: 1,006,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,160 : 670,230 = 670,230 : x
  2. Step 2: Convert to fraction form
    446,160/670,230 = 670,230/x
  3. Step 3: Cross multiply
    446,160x = 670,230 × 670,230
  4. Step 4: Simplify right side
    446,160x = 449,208,252,900
  5. Step 5: Solve for x
    x = 449,208,252,900/446,160
  6. Step 6: Final answer
    x = 1,006,832.20

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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.