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Finding the Third Proportional to 535,608 and 829,344

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Solution

The third proportional to 535,608 and 829,344 is: 1,284,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,608 : 829,344 = 829,344 : x
  2. Step 2: Convert to fraction form
    535,608/829,344 = 829,344/x
  3. Step 3: Cross multiply
    535,608x = 829,344 × 829,344
  4. Step 4: Simplify right side
    535,608x = 687,811,470,336
  5. Step 5: Solve for x
    x = 687,811,470,336/535,608
  6. Step 6: Final answer
    x = 1,284,169.52

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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.