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Finding the Third Proportional to 535,274 and 769,376

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Solution

The third proportional to 535,274 and 769,376 is: 1,105,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,274 : 769,376 = 769,376 : x
  2. Step 2: Convert to fraction form
    535,274/769,376 = 769,376/x
  3. Step 3: Cross multiply
    535,274x = 769,376 × 769,376
  4. Step 4: Simplify right side
    535,274x = 591,939,429,376
  5. Step 5: Solve for x
    x = 591,939,429,376/535,274
  6. Step 6: Final answer
    x = 1,105,862.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.