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Finding the Third Proportional to 295,263 and 458,451

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Solution

The third proportional to 295,263 and 458,451 is: 711,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,263 : 458,451 = 458,451 : x
  2. Step 2: Convert to fraction form
    295,263/458,451 = 458,451/x
  3. Step 3: Cross multiply
    295,263x = 458,451 × 458,451
  4. Step 4: Simplify right side
    295,263x = 210,177,319,401
  5. Step 5: Solve for x
    x = 210,177,319,401/295,263
  6. Step 6: Final answer
    x = 711,830.87

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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.