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Finding the Third Proportional to 535,500 and 829,176

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Solution

The third proportional to 535,500 and 829,176 is: 1,283,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,500 : 829,176 = 829,176 : x
  2. Step 2: Convert to fraction form
    535,500/829,176 = 829,176/x
  3. Step 3: Cross multiply
    535,500x = 829,176 × 829,176
  4. Step 4: Simplify right side
    535,500x = 687,532,838,976
  5. Step 5: Solve for x
    x = 687,532,838,976/535,500
  6. Step 6: Final answer
    x = 1,283,908.20

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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.