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Finding the Third Proportional to 405,457 and 621,923

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Solution

The third proportional to 405,457 and 621,923 is: 953,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,457 : 621,923 = 621,923 : x
  2. Step 2: Convert to fraction form
    405,457/621,923 = 621,923/x
  3. Step 3: Cross multiply
    405,457x = 621,923 × 621,923
  4. Step 4: Simplify right side
    405,457x = 386,788,217,929
  5. Step 5: Solve for x
    x = 386,788,217,929/405,457
  6. Step 6: Final answer
    x = 953,956.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.