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Finding the Third Proportional to 291,630.38 and 606,540

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Solution

The third proportional to 291,630.38 and 606,540 is: 1,261,496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630.38 : 606,540 = 606,540 : x
  2. Step 2: Convert to fraction form
    291,630.38/606,540 = 606,540/x
  3. Step 3: Cross multiply
    291,630.38x = 606,540 × 606,540
  4. Step 4: Simplify right side
    291,630.38x = 367,890,771,600
  5. Step 5: Solve for x
    x = 367,890,771,600/291,630.38
  6. Step 6: Final answer
    x = 1,261,496.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.