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Finding the Third Proportional to 285,252 and 443,654

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Solution

The third proportional to 285,252 and 443,654 is: 690,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,252 : 443,654 = 443,654 : x
  2. Step 2: Convert to fraction form
    285,252/443,654 = 443,654/x
  3. Step 3: Cross multiply
    285,252x = 443,654 × 443,654
  4. Step 4: Simplify right side
    285,252x = 196,828,871,716
  5. Step 5: Solve for x
    x = 196,828,871,716/285,252
  6. Step 6: Final answer
    x = 690,017.50

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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.