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Finding the Third Proportional to 535,464 and 829,104

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Solution

The third proportional to 535,464 and 829,104 is: 1,283,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,464 : 829,104 = 829,104 : x
  2. Step 2: Convert to fraction form
    535,464/829,104 = 829,104/x
  3. Step 3: Cross multiply
    535,464x = 829,104 × 829,104
  4. Step 4: Simplify right side
    535,464x = 687,413,442,816
  5. Step 5: Solve for x
    x = 687,413,442,816/535,464
  6. Step 6: Final answer
    x = 1,283,771.54

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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.