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Finding the Third Proportional to 285,825 and 609,606

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Solution

The third proportional to 285,825 and 609,606 is: 1,300,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,825 : 609,606 = 609,606 : x
  2. Step 2: Convert to fraction form
    285,825/609,606 = 609,606/x
  3. Step 3: Cross multiply
    285,825x = 609,606 × 609,606
  4. Step 4: Simplify right side
    285,825x = 371,619,475,236
  5. Step 5: Solve for x
    x = 371,619,475,236/285,825
  6. Step 6: Final answer
    x = 1,300,164.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.