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Finding the Third Proportional to 295,027 and 455,573

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Solution

The third proportional to 295,027 and 455,573 is: 703,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,027 : 455,573 = 455,573 : x
  2. Step 2: Convert to fraction form
    295,027/455,573 = 455,573/x
  3. Step 3: Cross multiply
    295,027x = 455,573 × 455,573
  4. Step 4: Simplify right side
    295,027x = 207,546,758,329
  5. Step 5: Solve for x
    x = 207,546,758,329/295,027
  6. Step 6: Final answer
    x = 703,483.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.