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Finding the Third Proportional to 545,308.50 and 1,117,059

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Solution

The third proportional to 545,308.50 and 1,117,059 is: 2,288,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,308.50 : 1,117,059 = 1,117,059 : x
  2. Step 2: Convert to fraction form
    545,308.50/1,117,059 = 1,117,059/x
  3. Step 3: Cross multiply
    545,308.50x = 1,117,059 × 1,117,059
  4. Step 4: Simplify right side
    545,308.50x = 1,247,820,809,481
  5. Step 5: Solve for x
    x = 1,247,820,809,481/545,308.50
  6. Step 6: Final answer
    x = 2,288,284.17

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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.