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Finding the Third Proportional to 331,614 and 716,177

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Solution

The third proportional to 331,614 and 716,177 is: 1,546,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,614 : 716,177 = 716,177 : x
  2. Step 2: Convert to fraction form
    331,614/716,177 = 716,177/x
  3. Step 3: Cross multiply
    331,614x = 716,177 × 716,177
  4. Step 4: Simplify right side
    331,614x = 512,909,495,329
  5. Step 5: Solve for x
    x = 512,909,495,329/331,614
  6. Step 6: Final answer
    x = 1,546,706.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.