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Finding the Third Proportional to 398,361 and 933,208.50

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Solution

The third proportional to 398,361 and 933,208.50 is: 2,186,153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,361 : 933,208.50 = 933,208.50 : x
  2. Step 2: Convert to fraction form
    398,361/933,208.50 = 933,208.50/x
  3. Step 3: Cross multiply
    398,361x = 933,208.50 × 933,208.50
  4. Step 4: Simplify right side
    398,361x = 870,878,104,472.25
  5. Step 5: Solve for x
    x = 870,878,104,472.25/398,361
  6. Step 6: Final answer
    x = 2,186,153.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.