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Finding the Third Proportional to 472,701 and 679,524

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Solution

The third proportional to 472,701 and 679,524 is: 976,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,701 : 679,524 = 679,524 : x
  2. Step 2: Convert to fraction form
    472,701/679,524 = 679,524/x
  3. Step 3: Cross multiply
    472,701x = 679,524 × 679,524
  4. Step 4: Simplify right side
    472,701x = 461,752,866,576
  5. Step 5: Solve for x
    x = 461,752,866,576/472,701
  6. Step 6: Final answer
    x = 976,839.20

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.