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Finding the Third Proportional to 538,428.94 and 833,606.44

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Solution

The third proportional to 538,428.94 and 833,606.44 is: 1,290,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,428.94 : 833,606.44 = 833,606.44 : x
  2. Step 2: Convert to fraction form
    538,428.94/833,606.44 = 833,606.44/x
  3. Step 3: Cross multiply
    538,428.94x = 833,606.44 × 833,606.44
  4. Step 4: Simplify right side
    538,428.94x = 694,899,692,641.44
  5. Step 5: Solve for x
    x = 694,899,692,641.44/538,428.94
  6. Step 6: Final answer
    x = 1,290,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.