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Finding the Third Proportional to 295,490 and 443,142

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Solution

The third proportional to 295,490 and 443,142 is: 664,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,490 : 443,142 = 443,142 : x
  2. Step 2: Convert to fraction form
    295,490/443,142 = 443,142/x
  3. Step 3: Cross multiply
    295,490x = 443,142 × 443,142
  4. Step 4: Simplify right side
    295,490x = 196,374,832,164
  5. Step 5: Solve for x
    x = 196,374,832,164/295,490
  6. Step 6: Final answer
    x = 664,573.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.