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Finding the Third Proportional to 327,361,314 and 709,210,032

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Solution

The third proportional to 327,361,314 and 709,210,032 is: 1,536,463,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361,314 : 709,210,032 = 709,210,032 : x
  2. Step 2: Convert to fraction form
    327,361,314/709,210,032 = 709,210,032/x
  3. Step 3: Cross multiply
    327,361,314x = 709,210,032 × 709,210,032
  4. Step 4: Simplify right side
    327,361,314x = 502,978,869,489,441,024
  5. Step 5: Solve for x
    x = 502,978,869,489,441,024/327,361,314
  6. Step 6: Final answer
    x = 1,536,463,986.36

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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.