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Finding the Third Proportional to 597,066 and 895,230

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Solution

The third proportional to 597,066 and 895,230 is: 1,342,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,066 : 895,230 = 895,230 : x
  2. Step 2: Convert to fraction form
    597,066/895,230 = 895,230/x
  3. Step 3: Cross multiply
    597,066x = 895,230 × 895,230
  4. Step 4: Simplify right side
    597,066x = 801,436,752,900
  5. Step 5: Solve for x
    x = 801,436,752,900/597,066
  6. Step 6: Final answer
    x = 1,342,291.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.