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Finding the Third Proportional to 303,572 and 659,632

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Solution

The third proportional to 303,572 and 659,632 is: 1,433,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,572 : 659,632 = 659,632 : x
  2. Step 2: Convert to fraction form
    303,572/659,632 = 659,632/x
  3. Step 3: Cross multiply
    303,572x = 659,632 × 659,632
  4. Step 4: Simplify right side
    303,572x = 435,114,375,424
  5. Step 5: Solve for x
    x = 435,114,375,424/303,572
  6. Step 6: Final answer
    x = 1,433,315.24

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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.