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Finding the Third Proportional to 325,332 and 670,752

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Solution

The third proportional to 325,332 and 670,752 is: 1,382,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,332 : 670,752 = 670,752 : x
  2. Step 2: Convert to fraction form
    325,332/670,752 = 670,752/x
  3. Step 3: Cross multiply
    325,332x = 670,752 × 670,752
  4. Step 4: Simplify right side
    325,332x = 449,908,245,504
  5. Step 5: Solve for x
    x = 449,908,245,504/325,332
  6. Step 6: Final answer
    x = 1,382,920.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.