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Finding the Third Proportional to 545,388 and 733,659.75

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Solution

The third proportional to 545,388 and 733,659.75 is: 986,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,388 : 733,659.75 = 733,659.75 : x
  2. Step 2: Convert to fraction form
    545,388/733,659.75 = 733,659.75/x
  3. Step 3: Cross multiply
    545,388x = 733,659.75 × 733,659.75
  4. Step 4: Simplify right side
    545,388x = 538,256,628,770.06
  5. Step 5: Solve for x
    x = 538,256,628,770.06/545,388
  6. Step 6: Final answer
    x = 986,924.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.