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Finding the Third Proportional to 333,856,589 and 713,658,643

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Solution

The third proportional to 333,856,589 and 713,658,643 is: 1,525,531,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,856,589 : 713,658,643 = 713,658,643 : x
  2. Step 2: Convert to fraction form
    333,856,589/713,658,643 = 713,658,643/x
  3. Step 3: Cross multiply
    333,856,589x = 713,658,643 × 713,658,643
  4. Step 4: Simplify right side
    333,856,589x = 509,308,658,728,601,472
  5. Step 5: Solve for x
    x = 509,308,658,728,601,472/333,856,589
  6. Step 6: Final answer
    x = 1,525,531,247.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.