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Finding the Third Proportional to 397,791 and 859,126.50

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Solution

The third proportional to 397,791 and 859,126.50 is: 1,855,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,791 : 859,126.50 = 859,126.50 : x
  2. Step 2: Convert to fraction form
    397,791/859,126.50 = 859,126.50/x
  3. Step 3: Cross multiply
    397,791x = 859,126.50 × 859,126.50
  4. Step 4: Simplify right side
    397,791x = 738,098,343,002.25
  5. Step 5: Solve for x
    x = 738,098,343,002.25/397,791
  6. Step 6: Final answer
    x = 1,855,492.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.