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Finding the Third Proportional to 492,192 and 771,092

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Solution

The third proportional to 492,192 and 771,092 is: 1,208,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,192 : 771,092 = 771,092 : x
  2. Step 2: Convert to fraction form
    492,192/771,092 = 771,092/x
  3. Step 3: Cross multiply
    492,192x = 771,092 × 771,092
  4. Step 4: Simplify right side
    492,192x = 594,582,872,464
  5. Step 5: Solve for x
    x = 594,582,872,464/492,192
  6. Step 6: Final answer
    x = 1,208,030.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.