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Finding the Third Proportional to 259,133,460 and 397,361,280

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Solution

The third proportional to 259,133,460 and 397,361,280 is: 609,323,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,133,460 : 397,361,280 = 397,361,280 : x
  2. Step 2: Convert to fraction form
    259,133,460/397,361,280 = 397,361,280/x
  3. Step 3: Cross multiply
    259,133,460x = 397,361,280 × 397,361,280
  4. Step 4: Simplify right side
    259,133,460x = 157,895,986,843,238,400
  5. Step 5: Solve for x
    x = 157,895,986,843,238,400/259,133,460
  6. Step 6: Final answer
    x = 609,323,037.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.