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Finding the Third Proportional to 210,912 and 497,868

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Solution

The third proportional to 210,912 and 497,868 is: 1,175,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,912 : 497,868 = 497,868 : x
  2. Step 2: Convert to fraction form
    210,912/497,868 = 497,868/x
  3. Step 3: Cross multiply
    210,912x = 497,868 × 497,868
  4. Step 4: Simplify right side
    210,912x = 247,872,545,424
  5. Step 5: Solve for x
    x = 247,872,545,424/210,912
  6. Step 6: Final answer
    x = 1,175,241.55

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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.