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Finding the Third Proportional to 492,109 and 759,968

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Solution

The third proportional to 492,109 and 759,968 is: 1,173,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,109 : 759,968 = 759,968 : x
  2. Step 2: Convert to fraction form
    492,109/759,968 = 759,968/x
  3. Step 3: Cross multiply
    492,109x = 759,968 × 759,968
  4. Step 4: Simplify right side
    492,109x = 577,551,361,024
  5. Step 5: Solve for x
    x = 577,551,361,024/492,109
  6. Step 6: Final answer
    x = 1,173,624.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.