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Finding the Third Proportional to 314,440 and 682,040

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Solution

The third proportional to 314,440 and 682,040 is: 1,479,387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,440 : 682,040 = 682,040 : x
  2. Step 2: Convert to fraction form
    314,440/682,040 = 682,040/x
  3. Step 3: Cross multiply
    314,440x = 682,040 × 682,040
  4. Step 4: Simplify right side
    314,440x = 465,178,561,600
  5. Step 5: Solve for x
    x = 465,178,561,600/314,440
  6. Step 6: Final answer
    x = 1,479,387.36

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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.