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Finding the Third Proportional to 348,796 and 745,172

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Solution

The third proportional to 348,796 and 745,172 is: 1,591,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,796 : 745,172 = 745,172 : x
  2. Step 2: Convert to fraction form
    348,796/745,172 = 745,172/x
  3. Step 3: Cross multiply
    348,796x = 745,172 × 745,172
  4. Step 4: Simplify right side
    348,796x = 555,281,309,584
  5. Step 5: Solve for x
    x = 555,281,309,584/348,796
  6. Step 6: Final answer
    x = 1,591,994.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.