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Finding the Third Proportional to 497,666 and 670,467

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Solution

The third proportional to 497,666 and 670,467 is: 903,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666 : 670,467 = 670,467 : x
  2. Step 2: Convert to fraction form
    497,666/670,467 = 670,467/x
  3. Step 3: Cross multiply
    497,666x = 670,467 × 670,467
  4. Step 4: Simplify right side
    497,666x = 449,525,998,089
  5. Step 5: Solve for x
    x = 449,525,998,089/497,666
  6. Step 6: Final answer
    x = 903,268.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.