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Finding the Third Proportional to 351,567 and 728,056.50

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Solution

The third proportional to 351,567 and 728,056.50 is: 1,507,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,567 : 728,056.50 = 728,056.50 : x
  2. Step 2: Convert to fraction form
    351,567/728,056.50 = 728,056.50/x
  3. Step 3: Cross multiply
    351,567x = 728,056.50 × 728,056.50
  4. Step 4: Simplify right side
    351,567x = 530,066,267,192.25
  5. Step 5: Solve for x
    x = 530,066,267,192.25/351,567
  6. Step 6: Final answer
    x = 1,507,724.75

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.