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Finding the Third Proportional to 340,756 and 725,224

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Solution

The third proportional to 340,756 and 725,224 is: 1,543,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,756 : 725,224 = 725,224 : x
  2. Step 2: Convert to fraction form
    340,756/725,224 = 725,224/x
  3. Step 3: Cross multiply
    340,756x = 725,224 × 725,224
  4. Step 4: Simplify right side
    340,756x = 525,949,850,176
  5. Step 5: Solve for x
    x = 525,949,850,176/340,756
  6. Step 6: Final answer
    x = 1,543,479.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.