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Finding the Third Proportional to 354,382,016 and 510,501,120

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Solution

The third proportional to 354,382,016 and 510,501,120 is: 735,396,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,382,016 : 510,501,120 = 510,501,120 : x
  2. Step 2: Convert to fraction form
    354,382,016/510,501,120 = 510,501,120/x
  3. Step 3: Cross multiply
    354,382,016x = 510,501,120 × 510,501,120
  4. Step 4: Simplify right side
    354,382,016x = 260,611,393,521,254,400
  5. Step 5: Solve for x
    x = 260,611,393,521,254,400/354,382,016
  6. Step 6: Final answer
    x = 735,396,780.18

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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.