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Finding the Third Proportional to 335,199 and 688,164

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Solution

The third proportional to 335,199 and 688,164 is: 1,412,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,199 : 688,164 = 688,164 : x
  2. Step 2: Convert to fraction form
    335,199/688,164 = 688,164/x
  3. Step 3: Cross multiply
    335,199x = 688,164 × 688,164
  4. Step 4: Simplify right side
    335,199x = 473,569,690,896
  5. Step 5: Solve for x
    x = 473,569,690,896/335,199
  6. Step 6: Final answer
    x = 1,412,801.62

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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.