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Finding the Third Proportional to 332,330 and 720,746

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Solution

The third proportional to 332,330 and 720,746 is: 1,563,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,330 : 720,746 = 720,746 : x
  2. Step 2: Convert to fraction form
    332,330/720,746 = 720,746/x
  3. Step 3: Cross multiply
    332,330x = 720,746 × 720,746
  4. Step 4: Simplify right side
    332,330x = 519,474,796,516
  5. Step 5: Solve for x
    x = 519,474,796,516/332,330
  6. Step 6: Final answer
    x = 1,563,129.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.