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Finding the Third Proportional to 285,527 and 611,500

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Solution

The third proportional to 285,527 and 611,500 is: 1,309,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,527 : 611,500 = 611,500 : x
  2. Step 2: Convert to fraction form
    285,527/611,500 = 611,500/x
  3. Step 3: Cross multiply
    285,527x = 611,500 × 611,500
  4. Step 4: Simplify right side
    285,527x = 373,932,250,000
  5. Step 5: Solve for x
    x = 373,932,250,000/285,527
  6. Step 6: Final answer
    x = 1,309,621.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.