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Finding the Third Proportional to 348,482 and 490,752

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Solution

The third proportional to 348,482 and 490,752 is: 691,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,482 : 490,752 = 490,752 : x
  2. Step 2: Convert to fraction form
    348,482/490,752 = 490,752/x
  3. Step 3: Cross multiply
    348,482x = 490,752 × 490,752
  4. Step 4: Simplify right side
    348,482x = 240,837,525,504
  5. Step 5: Solve for x
    x = 240,837,525,504/348,482
  6. Step 6: Final answer
    x = 691,104.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.