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Finding the Third Proportional to 355,093 and 499,462

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Solution

The third proportional to 355,093 and 499,462 is: 702,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,093 : 499,462 = 499,462 : x
  2. Step 2: Convert to fraction form
    355,093/499,462 = 499,462/x
  3. Step 3: Cross multiply
    355,093x = 499,462 × 499,462
  4. Step 4: Simplify right side
    355,093x = 249,462,289,444
  5. Step 5: Solve for x
    x = 249,462,289,444/355,093
  6. Step 6: Final answer
    x = 702,526.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.