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Finding the Third Proportional to 303,567.75 and 666,184.50

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Solution

The third proportional to 303,567.75 and 666,184.50 is: 1,461,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,567.75 : 666,184.50 = 666,184.50 : x
  2. Step 2: Convert to fraction form
    303,567.75/666,184.50 = 666,184.50/x
  3. Step 3: Cross multiply
    303,567.75x = 666,184.50 × 666,184.50
  4. Step 4: Simplify right side
    303,567.75x = 443,801,788,040.25
  5. Step 5: Solve for x
    x = 443,801,788,040.25/303,567.75
  6. Step 6: Final answer
    x = 1,461,953.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.