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Finding the Third Proportional to 328,388,980 and 713,935,880

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Solution

The third proportional to 328,388,980 and 713,935,880 is: 1,552,136,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,388,980 : 713,935,880 = 713,935,880 : x
  2. Step 2: Convert to fraction form
    328,388,980/713,935,880 = 713,935,880/x
  3. Step 3: Cross multiply
    328,388,980x = 713,935,880 × 713,935,880
  4. Step 4: Simplify right side
    328,388,980x = 509,704,440,751,374,400
  5. Step 5: Solve for x
    x = 509,704,440,751,374,400/328,388,980
  6. Step 6: Final answer
    x = 1,552,136,252.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.