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Finding the Third Proportional to 330,133.13 and 723,552.75

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Solution

The third proportional to 330,133.13 and 723,552.75 is: 1,585,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,133.13 : 723,552.75 = 723,552.75 : x
  2. Step 2: Convert to fraction form
    330,133.13/723,552.75 = 723,552.75/x
  3. Step 3: Cross multiply
    330,133.13x = 723,552.75 × 723,552.75
  4. Step 4: Simplify right side
    330,133.13x = 523,528,582,032.56
  5. Step 5: Solve for x
    x = 523,528,582,032.56/330,133.13
  6. Step 6: Final answer
    x = 1,585,810.52

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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.