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Finding the Third Proportional to 210,010 and 493,651

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Solution

The third proportional to 210,010 and 493,651 is: 1,160,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,010 : 493,651 = 493,651 : x
  2. Step 2: Convert to fraction form
    210,010/493,651 = 493,651/x
  3. Step 3: Cross multiply
    210,010x = 493,651 × 493,651
  4. Step 4: Simplify right side
    210,010x = 243,691,309,801
  5. Step 5: Solve for x
    x = 243,691,309,801/210,010
  6. Step 6: Final answer
    x = 1,160,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.