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Finding the Third Proportional to 469,968 and 659,733

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Solution

The third proportional to 469,968 and 659,733 is: 926,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,968 : 659,733 = 659,733 : x
  2. Step 2: Convert to fraction form
    469,968/659,733 = 659,733/x
  3. Step 3: Cross multiply
    469,968x = 659,733 × 659,733
  4. Step 4: Simplify right side
    469,968x = 435,247,631,289
  5. Step 5: Solve for x
    x = 435,247,631,289/469,968
  6. Step 6: Final answer
    x = 926,121.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.