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Finding the Third Proportional to 326,038 and 673,028

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Solution

The third proportional to 326,038 and 673,028 is: 1,389,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,038 : 673,028 = 673,028 : x
  2. Step 2: Convert to fraction form
    326,038/673,028 = 673,028/x
  3. Step 3: Cross multiply
    326,038x = 673,028 × 673,028
  4. Step 4: Simplify right side
    326,038x = 452,966,688,784
  5. Step 5: Solve for x
    x = 452,966,688,784/326,038
  6. Step 6: Final answer
    x = 1,389,306.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.