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Finding the Third Proportional to 330,320 and 713,632

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Solution

The third proportional to 330,320 and 713,632 is: 1,541,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,320 : 713,632 = 713,632 : x
  2. Step 2: Convert to fraction form
    330,320/713,632 = 713,632/x
  3. Step 3: Cross multiply
    330,320x = 713,632 × 713,632
  4. Step 4: Simplify right side
    330,320x = 509,270,631,424
  5. Step 5: Solve for x
    x = 509,270,631,424/330,320
  6. Step 6: Final answer
    x = 1,541,749.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.