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Finding the Third Proportional to 233,025 and 499,251

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Solution

The third proportional to 233,025 and 499,251 is: 1,069,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,025 : 499,251 = 499,251 : x
  2. Step 2: Convert to fraction form
    233,025/499,251 = 499,251/x
  3. Step 3: Cross multiply
    233,025x = 499,251 × 499,251
  4. Step 4: Simplify right side
    233,025x = 249,251,561,001
  5. Step 5: Solve for x
    x = 249,251,561,001/233,025
  6. Step 6: Final answer
    x = 1,069,634.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.