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Finding the Third Proportional to 333,201 and 719,591.50

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Solution

The third proportional to 333,201 and 719,591.50 is: 1,554,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,201 : 719,591.50 = 719,591.50 : x
  2. Step 2: Convert to fraction form
    333,201/719,591.50 = 719,591.50/x
  3. Step 3: Cross multiply
    333,201x = 719,591.50 × 719,591.50
  4. Step 4: Simplify right side
    333,201x = 517,811,926,872.25
  5. Step 5: Solve for x
    x = 517,811,926,872.25/333,201
  6. Step 6: Final answer
    x = 1,554,052.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.