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Finding the Third Proportional to 446,324 and 624,270

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Solution

The third proportional to 446,324 and 624,270 is: 873,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,324 : 624,270 = 624,270 : x
  2. Step 2: Convert to fraction form
    446,324/624,270 = 624,270/x
  3. Step 3: Cross multiply
    446,324x = 624,270 × 624,270
  4. Step 4: Simplify right side
    446,324x = 389,713,032,900
  5. Step 5: Solve for x
    x = 389,713,032,900/446,324
  6. Step 6: Final answer
    x = 873,161.72

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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.