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Finding the Third Proportional to 331,310,654 and 720,798,416

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Solution

The third proportional to 331,310,654 and 720,798,416 is: 1,568,166,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,310,654 : 720,798,416 = 720,798,416 : x
  2. Step 2: Convert to fraction form
    331,310,654/720,798,416 = 720,798,416/x
  3. Step 3: Cross multiply
    331,310,654x = 720,798,416 × 720,798,416
  4. Step 4: Simplify right side
    331,310,654x = 519,550,356,508,109,056
  5. Step 5: Solve for x
    x = 519,550,356,508,109,056/331,310,654
  6. Step 6: Final answer
    x = 1,568,166,765.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.