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Finding the Third Proportional to 301,573.13 and 603,115.88

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Solution

The third proportional to 301,573.13 and 603,115.88 is: 1,206,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,573.13 : 603,115.88 = 603,115.88 : x
  2. Step 2: Convert to fraction form
    301,573.13/603,115.88 = 603,115.88/x
  3. Step 3: Cross multiply
    301,573.13x = 603,115.88 × 603,115.88
  4. Step 4: Simplify right side
    301,573.13x = 363,748,758,677.02
  5. Step 5: Solve for x
    x = 363,748,758,677.02/301,573.13
  6. Step 6: Final answer
    x = 1,206,171.00

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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.