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Finding the Third Proportional to 538,353 and 784,161

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Solution

The third proportional to 538,353 and 784,161 is: 1,142,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,353 : 784,161 = 784,161 : x
  2. Step 2: Convert to fraction form
    538,353/784,161 = 784,161/x
  3. Step 3: Cross multiply
    538,353x = 784,161 × 784,161
  4. Step 4: Simplify right side
    538,353x = 614,908,473,921
  5. Step 5: Solve for x
    x = 614,908,473,921/538,353
  6. Step 6: Final answer
    x = 1,142,203.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.