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Finding the Third Proportional to 312,934 and 673,038

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Solution

The third proportional to 312,934 and 673,038 is: 1,447,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,934 : 673,038 = 673,038 : x
  2. Step 2: Convert to fraction form
    312,934/673,038 = 673,038/x
  3. Step 3: Cross multiply
    312,934x = 673,038 × 673,038
  4. Step 4: Simplify right side
    312,934x = 452,980,149,444
  5. Step 5: Solve for x
    x = 452,980,149,444/312,934
  6. Step 6: Final answer
    x = 1,447,526.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.