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Finding the Third Proportional to 257,920,184 and 544,951,408

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Solution

The third proportional to 257,920,184 and 544,951,408 is: 1,151,410,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,920,184 : 544,951,408 = 544,951,408 : x
  2. Step 2: Convert to fraction form
    257,920,184/544,951,408 = 544,951,408/x
  3. Step 3: Cross multiply
    257,920,184x = 544,951,408 × 544,951,408
  4. Step 4: Simplify right side
    257,920,184x = 296,972,037,081,182,464
  5. Step 5: Solve for x
    x = 296,972,037,081,182,464/257,920,184
  6. Step 6: Final answer
    x = 1,151,410,612.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.