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Finding the Third Proportional to 354,850,200 and 776,594,718

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Solution

The third proportional to 354,850,200 and 776,594,718 is: 1,699,588,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850,200 : 776,594,718 = 776,594,718 : x
  2. Step 2: Convert to fraction form
    354,850,200/776,594,718 = 776,594,718/x
  3. Step 3: Cross multiply
    354,850,200x = 776,594,718 × 776,594,718
  4. Step 4: Simplify right side
    354,850,200x = 603,099,356,025,499,520
  5. Step 5: Solve for x
    x = 603,099,356,025,499,520/354,850,200
  6. Step 6: Final answer
    x = 1,699,588,603.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.