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Finding the Third Proportional to 504,954 and 755,722.41

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Solution

The third proportional to 504,954 and 755,722.41 is: 1,131,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,954 : 755,722.41 = 755,722.41 : x
  2. Step 2: Convert to fraction form
    504,954/755,722.41 = 755,722.41/x
  3. Step 3: Cross multiply
    504,954x = 755,722.41 × 755,722.41
  4. Step 4: Simplify right side
    504,954x = 571,116,355,308.29
  5. Step 5: Solve for x
    x = 571,116,355,308.29/504,954
  6. Step 6: Final answer
    x = 1,131,026.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.