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Finding the Third Proportional to 350,216 and 535,491

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Solution

The third proportional to 350,216 and 535,491 is: 818,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,216 : 535,491 = 535,491 : x
  2. Step 2: Convert to fraction form
    350,216/535,491 = 535,491/x
  3. Step 3: Cross multiply
    350,216x = 535,491 × 535,491
  4. Step 4: Simplify right side
    350,216x = 286,750,611,081
  5. Step 5: Solve for x
    x = 286,750,611,081/350,216
  6. Step 6: Final answer
    x = 818,782.15

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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.