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Finding the Third Proportional to 253,561.64 and 362,569.92

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Solution

The third proportional to 253,561.64 and 362,569.92 is: 518,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,561.64 : 362,569.92 = 362,569.92 : x
  2. Step 2: Convert to fraction form
    253,561.64/362,569.92 = 362,569.92/x
  3. Step 3: Cross multiply
    253,561.64x = 362,569.92 × 362,569.92
  4. Step 4: Simplify right side
    253,561.64x = 131,456,948,248.44
  5. Step 5: Solve for x
    x = 131,456,948,248.44/253,561.64
  6. Step 6: Final answer
    x = 518,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.