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Finding the Third Proportional to 350,440 and 536,172

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Solution

The third proportional to 350,440 and 536,172 is: 820,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,440 : 536,172 = 536,172 : x
  2. Step 2: Convert to fraction form
    350,440/536,172 = 536,172/x
  3. Step 3: Cross multiply
    350,440x = 536,172 × 536,172
  4. Step 4: Simplify right side
    350,440x = 287,480,413,584
  5. Step 5: Solve for x
    x = 287,480,413,584/350,440
  6. Step 6: Final answer
    x = 820,341.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.