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Finding the Third Proportional to 210,902 and 497,842

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Solution

The third proportional to 210,902 and 497,842 is: 1,175,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902 : 497,842 = 497,842 : x
  2. Step 2: Convert to fraction form
    210,902/497,842 = 497,842/x
  3. Step 3: Cross multiply
    210,902x = 497,842 × 497,842
  4. Step 4: Simplify right side
    210,902x = 247,846,656,964
  5. Step 5: Solve for x
    x = 247,846,656,964/210,902
  6. Step 6: Final answer
    x = 1,175,174.52

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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.