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Finding the Third Proportional to 495,927 and 741,969

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Solution

The third proportional to 495,927 and 741,969 is: 1,110,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,927 : 741,969 = 741,969 : x
  2. Step 2: Convert to fraction form
    495,927/741,969 = 741,969/x
  3. Step 3: Cross multiply
    495,927x = 741,969 × 741,969
  4. Step 4: Simplify right side
    495,927x = 550,517,996,961
  5. Step 5: Solve for x
    x = 550,517,996,961/495,927
  6. Step 6: Final answer
    x = 1,110,078.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.