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Finding the Third Proportional to 545,367 and 905,752.50

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Solution

The third proportional to 545,367 and 905,752.50 is: 1,504,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,367 : 905,752.50 = 905,752.50 : x
  2. Step 2: Convert to fraction form
    545,367/905,752.50 = 905,752.50/x
  3. Step 3: Cross multiply
    545,367x = 905,752.50 × 905,752.50
  4. Step 4: Simplify right side
    545,367x = 820,387,591,256.25
  5. Step 5: Solve for x
    x = 820,387,591,256.25/545,367
  6. Step 6: Final answer
    x = 1,504,285.36

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.