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Finding the Third Proportional to 362,616.75 and 509,743.13

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Solution

The third proportional to 362,616.75 and 509,743.13 is: 716,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,616.75 : 509,743.13 = 509,743.13 : x
  2. Step 2: Convert to fraction form
    362,616.75/509,743.13 = 509,743.13/x
  3. Step 3: Cross multiply
    362,616.75x = 509,743.13 × 509,743.13
  4. Step 4: Simplify right side
    362,616.75x = 259,838,053,484.77
  5. Step 5: Solve for x
    x = 259,838,053,484.77/362,616.75
  6. Step 6: Final answer
    x = 716,563.85

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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.