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Finding the Third Proportional to 441,496.69 and 953,549.44

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Solution

The third proportional to 441,496.69 and 953,549.44 is: 2,059,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,496.69 : 953,549.44 = 953,549.44 : x
  2. Step 2: Convert to fraction form
    441,496.69/953,549.44 = 953,549.44/x
  3. Step 3: Cross multiply
    441,496.69x = 953,549.44 × 953,549.44
  4. Step 4: Simplify right side
    441,496.69x = 909,256,529,756.57
  5. Step 5: Solve for x
    x = 909,256,529,756.57/441,496.69
  6. Step 6: Final answer
    x = 2,059,486.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.