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Finding the Third Proportional to 354,382,017 and 510,501,121.50

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Solution

The third proportional to 354,382,017 and 510,501,121.50 is: 735,396,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,382,017 : 510,501,121.50 = 510,501,121.50 : x
  2. Step 2: Convert to fraction form
    354,382,017/510,501,121.50 = 510,501,121.50/x
  3. Step 3: Cross multiply
    354,382,017x = 510,501,121.50 × 510,501,121.50
  4. Step 4: Simplify right side
    354,382,017x = 260,611,395,052,757,760
  5. Step 5: Solve for x
    x = 260,611,395,052,757,760/354,382,017
  6. Step 6: Final answer
    x = 735,396,782.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.