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Finding the Third Proportional to 427,716 and 597,970

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Solution

The third proportional to 427,716 and 597,970 is: 835,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,716 : 597,970 = 597,970 : x
  2. Step 2: Convert to fraction form
    427,716/597,970 = 597,970/x
  3. Step 3: Cross multiply
    427,716x = 597,970 × 597,970
  4. Step 4: Simplify right side
    427,716x = 357,568,120,900
  5. Step 5: Solve for x
    x = 357,568,120,900/427,716
  6. Step 6: Final answer
    x = 835,994.26

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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.