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Finding the Third Proportional to 331,615 and 710,546

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Solution

The third proportional to 331,615 and 710,546 is: 1,522,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,615 : 710,546 = 710,546 : x
  2. Step 2: Convert to fraction form
    331,615/710,546 = 710,546/x
  3. Step 3: Cross multiply
    331,615x = 710,546 × 710,546
  4. Step 4: Simplify right side
    331,615x = 504,875,618,116
  5. Step 5: Solve for x
    x = 504,875,618,116/331,615
  6. Step 6: Final answer
    x = 1,522,475.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.