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Finding the Third Proportional to 545,521.50 and 733,812.75

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Solution

The third proportional to 545,521.50 and 733,812.75 is: 987,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,521.50 : 733,812.75 = 733,812.75 : x
  2. Step 2: Convert to fraction form
    545,521.50/733,812.75 = 733,812.75/x
  3. Step 3: Cross multiply
    545,521.50x = 733,812.75 × 733,812.75
  4. Step 4: Simplify right side
    545,521.50x = 538,481,152,062.56
  5. Step 5: Solve for x
    x = 538,481,152,062.56/545,521.50
  6. Step 6: Final answer
    x = 987,094.28

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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.