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Finding the Third Proportional to 413,636,544 and 629,049,240

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Solution

The third proportional to 413,636,544 and 629,049,240 is: 956,644,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636,544 : 629,049,240 = 629,049,240 : x
  2. Step 2: Convert to fraction form
    413,636,544/629,049,240 = 629,049,240/x
  3. Step 3: Cross multiply
    413,636,544x = 629,049,240 × 629,049,240
  4. Step 4: Simplify right side
    413,636,544x = 395,702,946,344,577,600
  5. Step 5: Solve for x
    x = 395,702,946,344,577,600/413,636,544
  6. Step 6: Final answer
    x = 956,644,068.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.