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Finding the Third Proportional to 395,923.50 and 537,912

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Solution

The third proportional to 395,923.50 and 537,912 is: 730,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,923.50 : 537,912 = 537,912 : x
  2. Step 2: Convert to fraction form
    395,923.50/537,912 = 537,912/x
  3. Step 3: Cross multiply
    395,923.50x = 537,912 × 537,912
  4. Step 4: Simplify right side
    395,923.50x = 289,349,319,744
  5. Step 5: Solve for x
    x = 289,349,319,744/395,923.50
  6. Step 6: Final answer
    x = 730,821.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.