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Finding the Third Proportional to 461,738 and 737,644

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Solution

The third proportional to 461,738 and 737,644 is: 1,178,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,738 : 737,644 = 737,644 : x
  2. Step 2: Convert to fraction form
    461,738/737,644 = 737,644/x
  3. Step 3: Cross multiply
    461,738x = 737,644 × 737,644
  4. Step 4: Simplify right side
    461,738x = 544,118,670,736
  5. Step 5: Solve for x
    x = 544,118,670,736/461,738
  6. Step 6: Final answer
    x = 1,178,414.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.