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Finding the Third Proportional to 362,632 and 509,760

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Solution

The third proportional to 362,632 and 509,760 is: 716,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,632 : 509,760 = 509,760 : x
  2. Step 2: Convert to fraction form
    362,632/509,760 = 509,760/x
  3. Step 3: Cross multiply
    362,632x = 509,760 × 509,760
  4. Step 4: Simplify right side
    362,632x = 259,855,257,600
  5. Step 5: Solve for x
    x = 259,855,257,600/362,632
  6. Step 6: Final answer
    x = 716,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.