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Finding the Third Proportional to 354,666 and 497,667

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Solution

The third proportional to 354,666 and 497,667 is: 698,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,666 : 497,667 = 497,667 : x
  2. Step 2: Convert to fraction form
    354,666/497,667 = 497,667/x
  3. Step 3: Cross multiply
    354,666x = 497,667 × 497,667
  4. Step 4: Simplify right side
    354,666x = 247,672,442,889
  5. Step 5: Solve for x
    x = 247,672,442,889/354,666
  6. Step 6: Final answer
    x = 698,325.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.