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Finding the Third Proportional to 347,394 and 757,212

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Solution

The third proportional to 347,394 and 757,212 is: 1,650,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,394 : 757,212 = 757,212 : x
  2. Step 2: Convert to fraction form
    347,394/757,212 = 757,212/x
  3. Step 3: Cross multiply
    347,394x = 757,212 × 757,212
  4. Step 4: Simplify right side
    347,394x = 573,370,012,944
  5. Step 5: Solve for x
    x = 573,370,012,944/347,394
  6. Step 6: Final answer
    x = 1,650,489.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.