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Finding the Third Proportional to 358,926,752 and 779,110,692

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Solution

The third proportional to 358,926,752 and 779,110,692 is: 1,691,190,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,926,752 : 779,110,692 = 779,110,692 : x
  2. Step 2: Convert to fraction form
    358,926,752/779,110,692 = 779,110,692/x
  3. Step 3: Cross multiply
    358,926,752x = 779,110,692 × 779,110,692
  4. Step 4: Simplify right side
    358,926,752x = 607,013,470,388,718,848
  5. Step 5: Solve for x
    x = 607,013,470,388,718,848/358,926,752
  6. Step 6: Final answer
    x = 1,691,190,380.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.