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Finding the Third Proportional to 230,664.38 and 499,226.63

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Solution

The third proportional to 230,664.38 and 499,226.63 is: 1,080,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,664.38 : 499,226.63 = 499,226.63 : x
  2. Step 2: Convert to fraction form
    230,664.38/499,226.63 = 499,226.63/x
  3. Step 3: Cross multiply
    230,664.38x = 499,226.63 × 499,226.63
  4. Step 4: Simplify right side
    230,664.38x = 249,227,223,108.89
  5. Step 5: Solve for x
    x = 249,227,223,108.89/230,664.38
  6. Step 6: Final answer
    x = 1,080,475.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.