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Finding the Third Proportional to 229,621 and 499,086

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Solution

The third proportional to 229,621 and 499,086 is: 1,084,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,621 : 499,086 = 499,086 : x
  2. Step 2: Convert to fraction form
    229,621/499,086 = 499,086/x
  3. Step 3: Cross multiply
    229,621x = 499,086 × 499,086
  4. Step 4: Simplify right side
    229,621x = 249,086,835,396
  5. Step 5: Solve for x
    x = 249,086,835,396/229,621
  6. Step 6: Final answer
    x = 1,084,773.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.