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Finding the Third Proportional to 301,190.91 and 633,444.05

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Solution

The third proportional to 301,190.91 and 633,444.05 is: 1,332,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,190.91 : 633,444.05 = 633,444.05 : x
  2. Step 2: Convert to fraction form
    301,190.91/633,444.05 = 633,444.05/x
  3. Step 3: Cross multiply
    301,190.91x = 633,444.05 × 633,444.05
  4. Step 4: Simplify right side
    301,190.91x = 401,251,360,521.38
  5. Step 5: Solve for x
    x = 401,251,360,521.38/301,190.91
  6. Step 6: Final answer
    x = 1,332,216.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.