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Finding the Third Proportional to 353,358 and 757,212

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Solution

The third proportional to 353,358 and 757,212 is: 1,622,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,358 : 757,212 = 757,212 : x
  2. Step 2: Convert to fraction form
    353,358/757,212 = 757,212/x
  3. Step 3: Cross multiply
    353,358x = 757,212 × 757,212
  4. Step 4: Simplify right side
    353,358x = 573,370,012,944
  5. Step 5: Solve for x
    x = 573,370,012,944/353,358
  6. Step 6: Final answer
    x = 1,622,632.04

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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.