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Finding the Third Proportional to 208,912 and 493,072

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Solution

The third proportional to 208,912 and 493,072 is: 1,163,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912 : 493,072 = 493,072 : x
  2. Step 2: Convert to fraction form
    208,912/493,072 = 493,072/x
  3. Step 3: Cross multiply
    208,912x = 493,072 × 493,072
  4. Step 4: Simplify right side
    208,912x = 243,119,997,184
  5. Step 5: Solve for x
    x = 243,119,997,184/208,912
  6. Step 6: Final answer
    x = 1,163,743.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.