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Finding the Third Proportional to 436,126.50 and 925,096.50

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Solution

The third proportional to 436,126.50 and 925,096.50 is: 1,962,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,126.50 : 925,096.50 = 925,096.50 : x
  2. Step 2: Convert to fraction form
    436,126.50/925,096.50 = 925,096.50/x
  3. Step 3: Cross multiply
    436,126.50x = 925,096.50 × 925,096.50
  4. Step 4: Simplify right side
    436,126.50x = 855,803,534,312.25
  5. Step 5: Solve for x
    x = 855,803,534,312.25/436,126.50
  6. Step 6: Final answer
    x = 1,962,282.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.