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Finding the Third Proportional to 314,001 and 680,130

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Solution

The third proportional to 314,001 and 680,130 is: 1,473,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,001 : 680,130 = 680,130 : x
  2. Step 2: Convert to fraction form
    314,001/680,130 = 680,130/x
  3. Step 3: Cross multiply
    314,001x = 680,130 × 680,130
  4. Step 4: Simplify right side
    314,001x = 462,576,816,900
  5. Step 5: Solve for x
    x = 462,576,816,900/314,001
  6. Step 6: Final answer
    x = 1,473,169.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.