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Finding the Third Proportional to 313,713 and 484,740

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Solution

The third proportional to 313,713 and 484,740 is: 749,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,713 : 484,740 = 484,740 : x
  2. Step 2: Convert to fraction form
    313,713/484,740 = 484,740/x
  3. Step 3: Cross multiply
    313,713x = 484,740 × 484,740
  4. Step 4: Simplify right side
    313,713x = 234,972,867,600
  5. Step 5: Solve for x
    x = 234,972,867,600/313,713
  6. Step 6: Final answer
    x = 749,005.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.