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Finding the Third Proportional to 405,762.75 and 633,209.25

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Solution

The third proportional to 405,762.75 and 633,209.25 is: 988,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,762.75 : 633,209.25 = 633,209.25 : x
  2. Step 2: Convert to fraction form
    405,762.75/633,209.25 = 633,209.25/x
  3. Step 3: Cross multiply
    405,762.75x = 633,209.25 × 633,209.25
  4. Step 4: Simplify right side
    405,762.75x = 400,953,954,285.56
  5. Step 5: Solve for x
    x = 400,953,954,285.56/405,762.75
  6. Step 6: Final answer
    x = 988,148.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.