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Finding the Third Proportional to 437,361 and 714,177

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Solution

The third proportional to 437,361 and 714,177 is: 1,166,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,361 : 714,177 = 714,177 : x
  2. Step 2: Convert to fraction form
    437,361/714,177 = 714,177/x
  3. Step 3: Cross multiply
    437,361x = 714,177 × 714,177
  4. Step 4: Simplify right side
    437,361x = 510,048,787,329
  5. Step 5: Solve for x
    x = 510,048,787,329/437,361
  6. Step 6: Final answer
    x = 1,166,196.32

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.