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Finding the Third Proportional to 349,214 and 767,010

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Solution

The third proportional to 349,214 and 767,010 is: 1,684,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,214 : 767,010 = 767,010 : x
  2. Step 2: Convert to fraction form
    349,214/767,010 = 767,010/x
  3. Step 3: Cross multiply
    349,214x = 767,010 × 767,010
  4. Step 4: Simplify right side
    349,214x = 588,304,340,100
  5. Step 5: Solve for x
    x = 588,304,340,100/349,214
  6. Step 6: Final answer
    x = 1,684,652.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.