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Finding the Third Proportional to 461,138 and 705,698

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Solution

The third proportional to 461,138 and 705,698 is: 1,079,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,138 : 705,698 = 705,698 : x
  2. Step 2: Convert to fraction form
    461,138/705,698 = 705,698/x
  3. Step 3: Cross multiply
    461,138x = 705,698 × 705,698
  4. Step 4: Simplify right side
    461,138x = 498,009,667,204
  5. Step 5: Solve for x
    x = 498,009,667,204/461,138
  6. Step 6: Final answer
    x = 1,079,957.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.