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Finding the Third Proportional to 285,433 and 444,492

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Solution

The third proportional to 285,433 and 444,492 is: 692,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,433 : 444,492 = 444,492 : x
  2. Step 2: Convert to fraction form
    285,433/444,492 = 444,492/x
  3. Step 3: Cross multiply
    285,433x = 444,492 × 444,492
  4. Step 4: Simplify right side
    285,433x = 197,573,138,064
  5. Step 5: Solve for x
    x = 197,573,138,064/285,433
  6. Step 6: Final answer
    x = 692,187.44

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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.