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Finding the Third Proportional to 535,170 and 733,865

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Solution

The third proportional to 535,170 and 733,865 is: 1,006,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,170 : 733,865 = 733,865 : x
  2. Step 2: Convert to fraction form
    535,170/733,865 = 733,865/x
  3. Step 3: Cross multiply
    535,170x = 733,865 × 733,865
  4. Step 4: Simplify right side
    535,170x = 538,557,838,225
  5. Step 5: Solve for x
    x = 538,557,838,225/535,170
  6. Step 6: Final answer
    x = 1,006,330.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.