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Finding the Third Proportional to 210,009 and 493,650

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Solution

The third proportional to 210,009 and 493,650 is: 1,160,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009 : 493,650 = 493,650 : x
  2. Step 2: Convert to fraction form
    210,009/493,650 = 493,650/x
  3. Step 3: Cross multiply
    210,009x = 493,650 × 493,650
  4. Step 4: Simplify right side
    210,009x = 243,690,322,500
  5. Step 5: Solve for x
    x = 243,690,322,500/210,009
  6. Step 6: Final answer
    x = 1,160,380.38

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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.