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Finding the Third Proportional to 295,327 and 454,492.50

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Solution

The third proportional to 295,327 and 454,492.50 is: 699,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,327 : 454,492.50 = 454,492.50 : x
  2. Step 2: Convert to fraction form
    295,327/454,492.50 = 454,492.50/x
  3. Step 3: Cross multiply
    295,327x = 454,492.50 × 454,492.50
  4. Step 4: Simplify right side
    295,327x = 206,563,432,556.25
  5. Step 5: Solve for x
    x = 206,563,432,556.25/295,327
  6. Step 6: Final answer
    x = 699,439.71

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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.