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Finding the Third Proportional to 333,544 and 517,246

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Solution

The third proportional to 333,544 and 517,246 is: 802,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,544 : 517,246 = 517,246 : x
  2. Step 2: Convert to fraction form
    333,544/517,246 = 517,246/x
  3. Step 3: Cross multiply
    333,544x = 517,246 × 517,246
  4. Step 4: Simplify right side
    333,544x = 267,543,424,516
  5. Step 5: Solve for x
    x = 267,543,424,516/333,544
  6. Step 6: Final answer
    x = 802,123.33

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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.