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Finding the Third Proportional to 538,869.94 and 749,255.63

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Solution

The third proportional to 538,869.94 and 749,255.63 is: 1,041,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,869.94 : 749,255.63 = 749,255.63 : x
  2. Step 2: Convert to fraction form
    538,869.94/749,255.63 = 749,255.63/x
  3. Step 3: Cross multiply
    538,869.94x = 749,255.63 × 749,255.63
  4. Step 4: Simplify right side
    538,869.94x = 561,383,991,594.14
  5. Step 5: Solve for x
    x = 561,383,991,594.14/538,869.94
  6. Step 6: Final answer
    x = 1,041,780.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.