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Finding the Third Proportional to 271,773 and 407,011.50

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Solution

The third proportional to 271,773 and 407,011.50 is: 609,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,773 : 407,011.50 = 407,011.50 : x
  2. Step 2: Convert to fraction form
    271,773/407,011.50 = 407,011.50/x
  3. Step 3: Cross multiply
    271,773x = 407,011.50 × 407,011.50
  4. Step 4: Simplify right side
    271,773x = 165,658,361,132.25
  5. Step 5: Solve for x
    x = 165,658,361,132.25/271,773
  6. Step 6: Final answer
    x = 609,546.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.