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Finding the Third Proportional to 356,115 and 840,643.50

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Solution

The third proportional to 356,115 and 840,643.50 is: 1,984,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,115 : 840,643.50 = 840,643.50 : x
  2. Step 2: Convert to fraction form
    356,115/840,643.50 = 840,643.50/x
  3. Step 3: Cross multiply
    356,115x = 840,643.50 × 840,643.50
  4. Step 4: Simplify right side
    356,115x = 706,681,494,092.25
  5. Step 5: Solve for x
    x = 706,681,494,092.25/356,115
  6. Step 6: Final answer
    x = 1,984,419.34

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.