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Finding the Third Proportional to 210,902 and 497,843

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Solution

The third proportional to 210,902 and 497,843 is: 1,175,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902 : 497,843 = 497,843 : x
  2. Step 2: Convert to fraction form
    210,902/497,843 = 497,843/x
  3. Step 3: Cross multiply
    210,902x = 497,843 × 497,843
  4. Step 4: Simplify right side
    210,902x = 247,847,652,649
  5. Step 5: Solve for x
    x = 247,847,652,649/210,902
  6. Step 6: Final answer
    x = 1,175,179.24

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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.