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Finding the Third Proportional to 495,940 and 741,988

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Solution

The third proportional to 495,940 and 741,988 is: 1,110,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,940 : 741,988 = 741,988 : x
  2. Step 2: Convert to fraction form
    495,940/741,988 = 741,988/x
  3. Step 3: Cross multiply
    495,940x = 741,988 × 741,988
  4. Step 4: Simplify right side
    495,940x = 550,546,192,144
  5. Step 5: Solve for x
    x = 550,546,192,144/495,940
  6. Step 6: Final answer
    x = 1,110,106.45

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