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Finding the Third Proportional to 297,683 and 611,161

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Solution

The third proportional to 297,683 and 611,161 is: 1,254,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,683 : 611,161 = 611,161 : x
  2. Step 2: Convert to fraction form
    297,683/611,161 = 611,161/x
  3. Step 3: Cross multiply
    297,683x = 611,161 × 611,161
  4. Step 4: Simplify right side
    297,683x = 373,517,767,921
  5. Step 5: Solve for x
    x = 373,517,767,921/297,683
  6. Step 6: Final answer
    x = 1,254,750.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.