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Finding the Third Proportional to 301,579.50 and 603,127.50

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Solution

The third proportional to 301,579.50 and 603,127.50 is: 1,206,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,579.50 : 603,127.50 = 603,127.50 : x
  2. Step 2: Convert to fraction form
    301,579.50/603,127.50 = 603,127.50/x
  3. Step 3: Cross multiply
    301,579.50x = 603,127.50 × 603,127.50
  4. Step 4: Simplify right side
    301,579.50x = 363,762,781,256.25
  5. Step 5: Solve for x
    x = 363,762,781,256.25/301,579.50
  6. Step 6: Final answer
    x = 1,206,192.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.