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Finding the Third Proportional to 303,062 and 454,594

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Solution

The third proportional to 303,062 and 454,594 is: 681,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,062 : 454,594 = 454,594 : x
  2. Step 2: Convert to fraction form
    303,062/454,594 = 454,594/x
  3. Step 3: Cross multiply
    303,062x = 454,594 × 454,594
  4. Step 4: Simplify right side
    303,062x = 206,655,704,836
  5. Step 5: Solve for x
    x = 206,655,704,836/303,062
  6. Step 6: Final answer
    x = 681,892.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.