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Finding the Third Proportional to 332,262 and 708,018

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Solution

The third proportional to 332,262 and 708,018 is: 1,508,717.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,262 : 708,018 = 708,018 : x
  2. Step 2: Convert to fraction form
    332,262/708,018 = 708,018/x
  3. Step 3: Cross multiply
    332,262x = 708,018 × 708,018
  4. Step 4: Simplify right side
    332,262x = 501,289,488,324
  5. Step 5: Solve for x
    x = 501,289,488,324/332,262
  6. Step 6: Final answer
    x = 1,508,717.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.