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Finding the Third Proportional to 262,449,508.50 and 403,962,072.75

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Solution

The third proportional to 262,449,508.50 and 403,962,072.75 is: 621,778,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,449,508.50 : 403,962,072.75 = 403,962,072.75 : x
  2. Step 2: Convert to fraction form
    262,449,508.50/403,962,072.75 = 403,962,072.75/x
  3. Step 3: Cross multiply
    262,449,508.50x = 403,962,072.75 × 403,962,072.75
  4. Step 4: Simplify right side
    262,449,508.50x = 163,185,356,220,476,288
  5. Step 5: Solve for x
    x = 163,185,356,220,476,288/262,449,508.50
  6. Step 6: Final answer
    x = 621,778,098.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.