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Finding the Third Proportional to 495,098 and 743,736

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Solution

The third proportional to 495,098 and 743,736 is: 1,117,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,098 : 743,736 = 743,736 : x
  2. Step 2: Convert to fraction form
    495,098/743,736 = 743,736/x
  3. Step 3: Cross multiply
    495,098x = 743,736 × 743,736
  4. Step 4: Simplify right side
    495,098x = 553,143,237,696
  5. Step 5: Solve for x
    x = 553,143,237,696/495,098
  6. Step 6: Final answer
    x = 1,117,239.90

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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.