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Finding the Third Proportional to 446,548 and 624,612

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Solution

The third proportional to 446,548 and 624,612 is: 873,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,548 : 624,612 = 624,612 : x
  2. Step 2: Convert to fraction form
    446,548/624,612 = 624,612/x
  3. Step 3: Cross multiply
    446,548x = 624,612 × 624,612
  4. Step 4: Simplify right side
    446,548x = 390,140,150,544
  5. Step 5: Solve for x
    x = 390,140,150,544/446,548
  6. Step 6: Final answer
    x = 873,680.21

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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.