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Finding the Third Proportional to 350,218 and 535,494

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Solution

The third proportional to 350,218 and 535,494 is: 818,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,218 : 535,494 = 535,494 : x
  2. Step 2: Convert to fraction form
    350,218/535,494 = 535,494/x
  3. Step 3: Cross multiply
    350,218x = 535,494 × 535,494
  4. Step 4: Simplify right side
    350,218x = 286,753,824,036
  5. Step 5: Solve for x
    x = 286,753,824,036/350,218
  6. Step 6: Final answer
    x = 818,786.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.