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Finding the Third Proportional to 306,973 and 629,160.50

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Solution

The third proportional to 306,973 and 629,160.50 is: 1,289,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,973 : 629,160.50 = 629,160.50 : x
  2. Step 2: Convert to fraction form
    306,973/629,160.50 = 629,160.50/x
  3. Step 3: Cross multiply
    306,973x = 629,160.50 × 629,160.50
  4. Step 4: Simplify right side
    306,973x = 395,842,934,760.25
  5. Step 5: Solve for x
    x = 395,842,934,760.25/306,973
  6. Step 6: Final answer
    x = 1,289,504.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.