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Finding the Third Proportional to 285,254 and 443,657

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Solution

The third proportional to 285,254 and 443,657 is: 690,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,254 : 443,657 = 443,657 : x
  2. Step 2: Convert to fraction form
    285,254/443,657 = 443,657/x
  3. Step 3: Cross multiply
    285,254x = 443,657 × 443,657
  4. Step 4: Simplify right side
    285,254x = 196,831,533,649
  5. Step 5: Solve for x
    x = 196,831,533,649/285,254
  6. Step 6: Final answer
    x = 690,021.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.