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Finding the Third Proportional to 327,928.50 and 716,607

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Solution

The third proportional to 327,928.50 and 716,607 is: 1,565,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,928.50 : 716,607 = 716,607 : x
  2. Step 2: Convert to fraction form
    327,928.50/716,607 = 716,607/x
  3. Step 3: Cross multiply
    327,928.50x = 716,607 × 716,607
  4. Step 4: Simplify right side
    327,928.50x = 513,525,592,449
  5. Step 5: Solve for x
    x = 513,525,592,449/327,928.50
  6. Step 6: Final answer
    x = 1,565,968.17

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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.