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Finding the Third Proportional to 301,011.75 and 452,607.75

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Solution

The third proportional to 301,011.75 and 452,607.75 is: 680,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,011.75 : 452,607.75 = 452,607.75 : x
  2. Step 2: Convert to fraction form
    301,011.75/452,607.75 = 452,607.75/x
  3. Step 3: Cross multiply
    301,011.75x = 452,607.75 × 452,607.75
  4. Step 4: Simplify right side
    301,011.75x = 204,853,775,360.06
  5. Step 5: Solve for x
    x = 204,853,775,360.06/301,011.75
  6. Step 6: Final answer
    x = 680,550.76

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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.