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Finding the Third Proportional to 330,180.75 and 723,654

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Solution

The third proportional to 330,180.75 and 723,654 is: 1,586,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,180.75 : 723,654 = 723,654 : x
  2. Step 2: Convert to fraction form
    330,180.75/723,654 = 723,654/x
  3. Step 3: Cross multiply
    330,180.75x = 723,654 × 723,654
  4. Step 4: Simplify right side
    330,180.75x = 523,675,111,716
  5. Step 5: Solve for x
    x = 523,675,111,716/330,180.75
  6. Step 6: Final answer
    x = 1,586,025.57

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Why These Related Problems?

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