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Finding the Third Proportional to 327,606.75 and 712,903.50

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Solution

The third proportional to 327,606.75 and 712,903.50 is: 1,551,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,606.75 : 712,903.50 = 712,903.50 : x
  2. Step 2: Convert to fraction form
    327,606.75/712,903.50 = 712,903.50/x
  3. Step 3: Cross multiply
    327,606.75x = 712,903.50 × 712,903.50
  4. Step 4: Simplify right side
    327,606.75x = 508,231,400,312.25
  5. Step 5: Solve for x
    x = 508,231,400,312.25/327,606.75
  6. Step 6: Final answer
    x = 1,551,345.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.