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Finding the Third Proportional to 495,108 and 743,760

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Solution

The third proportional to 495,108 and 743,760 is: 1,117,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,108 : 743,760 = 743,760 : x
  2. Step 2: Convert to fraction form
    495,108/743,760 = 743,760/x
  3. Step 3: Cross multiply
    495,108x = 743,760 × 743,760
  4. Step 4: Simplify right side
    495,108x = 553,178,937,600
  5. Step 5: Solve for x
    x = 553,178,937,600/495,108
  6. Step 6: Final answer
    x = 1,117,289.44

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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.