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Finding the Third Proportional to 446,520 and 624,572

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Solution

The third proportional to 446,520 and 624,572 is: 873,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,520 : 624,572 = 624,572 : x
  2. Step 2: Convert to fraction form
    446,520/624,572 = 624,572/x
  3. Step 3: Cross multiply
    446,520x = 624,572 × 624,572
  4. Step 4: Simplify right side
    446,520x = 390,090,183,184
  5. Step 5: Solve for x
    x = 390,090,183,184/446,520
  6. Step 6: Final answer
    x = 873,623.09

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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.