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Finding the Third Proportional to 333,844 and 517,715

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Solution

The third proportional to 333,844 and 517,715 is: 802,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,844 : 517,715 = 517,715 : x
  2. Step 2: Convert to fraction form
    333,844/517,715 = 517,715/x
  3. Step 3: Cross multiply
    333,844x = 517,715 × 517,715
  4. Step 4: Simplify right side
    333,844x = 268,028,821,225
  5. Step 5: Solve for x
    x = 268,028,821,225/333,844
  6. Step 6: Final answer
    x = 802,856.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.