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Finding the Third Proportional to 294,288 and 455,589

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Solution

The third proportional to 294,288 and 455,589 is: 705,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,288 : 455,589 = 455,589 : x
  2. Step 2: Convert to fraction form
    294,288/455,589 = 455,589/x
  3. Step 3: Cross multiply
    294,288x = 455,589 × 455,589
  4. Step 4: Simplify right side
    294,288x = 207,561,336,921
  5. Step 5: Solve for x
    x = 207,561,336,921/294,288
  6. Step 6: Final answer
    x = 705,300.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.