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Finding the Third Proportional to 297,022 and 487,606

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Solution

The third proportional to 297,022 and 487,606 is: 800,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,022 : 487,606 = 487,606 : x
  2. Step 2: Convert to fraction form
    297,022/487,606 = 487,606/x
  3. Step 3: Cross multiply
    297,022x = 487,606 × 487,606
  4. Step 4: Simplify right side
    297,022x = 237,759,611,236
  5. Step 5: Solve for x
    x = 237,759,611,236/297,022
  6. Step 6: Final answer
    x = 800,478.12

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.