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Finding the Third Proportional to 353,062 and 522,733

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Solution

The third proportional to 353,062 and 522,733 is: 773,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,062 : 522,733 = 522,733 : x
  2. Step 2: Convert to fraction form
    353,062/522,733 = 522,733/x
  3. Step 3: Cross multiply
    353,062x = 522,733 × 522,733
  4. Step 4: Simplify right side
    353,062x = 273,249,789,289
  5. Step 5: Solve for x
    x = 273,249,789,289/353,062
  6. Step 6: Final answer
    x = 773,942.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.