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Finding the Third Proportional to 451,738 and 619,476

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Solution

The third proportional to 451,738 and 619,476 is: 849,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,738 : 619,476 = 619,476 : x
  2. Step 2: Convert to fraction form
    451,738/619,476 = 619,476/x
  3. Step 3: Cross multiply
    451,738x = 619,476 × 619,476
  4. Step 4: Simplify right side
    451,738x = 383,750,514,576
  5. Step 5: Solve for x
    x = 383,750,514,576/451,738
  6. Step 6: Final answer
    x = 849,497.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.