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Finding the Third Proportional to 535,104 and 784,916

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Solution

The third proportional to 535,104 and 784,916 is: 1,151,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,104 : 784,916 = 784,916 : x
  2. Step 2: Convert to fraction form
    535,104/784,916 = 784,916/x
  3. Step 3: Cross multiply
    535,104x = 784,916 × 784,916
  4. Step 4: Simplify right side
    535,104x = 616,093,127,056
  5. Step 5: Solve for x
    x = 616,093,127,056/535,104
  6. Step 6: Final answer
    x = 1,151,352.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.