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Finding the Third Proportional to 446,912 and 625,142

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Solution

The third proportional to 446,912 and 625,142 is: 874,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,912 : 625,142 = 625,142 : x
  2. Step 2: Convert to fraction form
    446,912/625,142 = 625,142/x
  3. Step 3: Cross multiply
    446,912x = 625,142 × 625,142
  4. Step 4: Simplify right side
    446,912x = 390,802,520,164
  5. Step 5: Solve for x
    x = 390,802,520,164/446,912
  6. Step 6: Final answer
    x = 874,450.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.