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Finding the Third Proportional to 350,219 and 535,496

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Solution

The third proportional to 350,219 and 535,496 is: 818,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,219 : 535,496 = 535,496 : x
  2. Step 2: Convert to fraction form
    350,219/535,496 = 535,496/x
  3. Step 3: Cross multiply
    350,219x = 535,496 × 535,496
  4. Step 4: Simplify right side
    350,219x = 286,755,966,016
  5. Step 5: Solve for x
    x = 286,755,966,016/350,219
  6. Step 6: Final answer
    x = 818,790.43

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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.