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Finding the Third Proportional to 354,002,672 and 554,099,565

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Solution

The third proportional to 354,002,672 and 554,099,565 is: 867,299,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,002,672 : 554,099,565 = 554,099,565 : x
  2. Step 2: Convert to fraction form
    354,002,672/554,099,565 = 554,099,565/x
  3. Step 3: Cross multiply
    354,002,672x = 554,099,565 × 554,099,565
  4. Step 4: Simplify right side
    354,002,672x = 307,026,327,933,189,248
  5. Step 5: Solve for x
    x = 307,026,327,933,189,248/354,002,672
  6. Step 6: Final answer
    x = 867,299,464.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.