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Finding the Third Proportional to 451,890 and 662,731

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Solution

The third proportional to 451,890 and 662,731 is: 971,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,890 : 662,731 = 662,731 : x
  2. Step 2: Convert to fraction form
    451,890/662,731 = 662,731/x
  3. Step 3: Cross multiply
    451,890x = 662,731 × 662,731
  4. Step 4: Simplify right side
    451,890x = 439,212,378,361
  5. Step 5: Solve for x
    x = 439,212,378,361/451,890
  6. Step 6: Final answer
    x = 971,945.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.