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Finding the Third Proportional to 492,112 and 759,972

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Solution

The third proportional to 492,112 and 759,972 is: 1,173,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,112 : 759,972 = 759,972 : x
  2. Step 2: Convert to fraction form
    492,112/759,972 = 759,972/x
  3. Step 3: Cross multiply
    492,112x = 759,972 × 759,972
  4. Step 4: Simplify right side
    492,112x = 577,557,440,784
  5. Step 5: Solve for x
    x = 577,557,440,784/492,112
  6. Step 6: Final answer
    x = 1,173,630.07

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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.