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Finding the Third Proportional to 340,860 and 715,980

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Solution

The third proportional to 340,860 and 715,980 is: 1,503,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,860 : 715,980 = 715,980 : x
  2. Step 2: Convert to fraction form
    340,860/715,980 = 715,980/x
  3. Step 3: Cross multiply
    340,860x = 715,980 × 715,980
  4. Step 4: Simplify right side
    340,860x = 512,627,360,400
  5. Step 5: Solve for x
    x = 512,627,360,400/340,860
  6. Step 6: Final answer
    x = 1,503,923.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.