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Finding the Third Proportional to 445,768,416 and 675,384,201

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Solution

The third proportional to 445,768,416 and 675,384,201 is: 1,023,275,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,768,416 : 675,384,201 = 675,384,201 : x
  2. Step 2: Convert to fraction form
    445,768,416/675,384,201 = 675,384,201/x
  3. Step 3: Cross multiply
    445,768,416x = 675,384,201 × 675,384,201
  4. Step 4: Simplify right side
    445,768,416x = 456,143,818,960,408,384
  5. Step 5: Solve for x
    x = 456,143,818,960,408,384/445,768,416
  6. Step 6: Final answer
    x = 1,023,275,320.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.