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Finding the Third Proportional to 285,298 and 441,534

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Solution

The third proportional to 285,298 and 441,534 is: 683,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,298 : 441,534 = 441,534 : x
  2. Step 2: Convert to fraction form
    285,298/441,534 = 441,534/x
  3. Step 3: Cross multiply
    285,298x = 441,534 × 441,534
  4. Step 4: Simplify right side
    285,298x = 194,952,273,156
  5. Step 5: Solve for x
    x = 194,952,273,156/285,298
  6. Step 6: Final answer
    x = 683,328.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.