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Finding the Third Proportional to 295,924 and 451,262

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Solution

The third proportional to 295,924 and 451,262 is: 688,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,924 : 451,262 = 451,262 : x
  2. Step 2: Convert to fraction form
    295,924/451,262 = 451,262/x
  3. Step 3: Cross multiply
    295,924x = 451,262 × 451,262
  4. Step 4: Simplify right side
    295,924x = 203,637,392,644
  5. Step 5: Solve for x
    x = 203,637,392,644/295,924
  6. Step 6: Final answer
    x = 688,140.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.